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3729343680 = 26345143879
BaseRepresentation
bin1101111001001001…
…0100010011000000
3100121220102021210000
43132102110103000
530114202444210
61414020440000
7161262620046
oct33622242300
910556367700
103729343680
111644132117
12880b49000
13475828c4a
1427541c396
1516c610ac0
hexde4944c0

3729343680 has 140 divisors (see below), whose sum is σ = 13266023760. Its totient is φ = 994484736.

The previous prime is 3729343661. The next prime is 3729343687. The reversal of 3729343680 is 863439273.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3729343687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46020 + ... + 97859.

Almost surely, 23729343680 is an apocalyptic number.

3729343680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3729343680 is an abundant number, since it is smaller than the sum of its proper divisors (9536680080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3729343680 is a wasteful number, since it uses less digits than its factorization.

3729343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143908 (or 143889 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3729343680 is about 61068.3525240365. The cubic root of 3729343680 is about 1550.7583774097.

The spelling of 3729343680 in words is "three billion, seven hundred twenty-nine million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 143879 287758 431637 575516 719395 863274 1151032 1294911 1438790 1726548 2158185 2302064 2589822 2877580 3453096 3884733 4316370 4604128 5179644 5755160 6474555 6906192 7769466 8632740 9208256 10359288 11510320 11654199 12949110 13812384 15538932 17265480 19423665 20718576 23020640 23308398 25898220 27624768 31077864 34530960 38847330 41437152 46041280 46616796 51796440 58270995 62155728 69061920 77694660 82874304 93233592 103592880 116541990 124311456 138123840 155389320 186467184 207185760 233083980 248622912 310778640 372934368 414371520 466167960 621557280 745868736 932335920 1243114560 1864671840 3729343680