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3348921960036 = 2236338892
BaseRepresentation
bin110000101110111011010…
…011011100011001100100
3102212011011010111101000000
4300232323103130121210
5414332043010210121
611042250140021300
7463644256660512
oct60567323343144
912764133441000
103348921960036
1110812a715a704
12461063231830
131b3a56c69153
14b81355054b2
155c1a6ced526
hex30bbb4dc664

3348921960036 has 63 divisors (see below), whose sum is σ = 8787159812361. Its totient is φ = 1116274379904.

The previous prime is 3348921959989. The next prime is 3348921960049. The reversal of 3348921960036 is 6300691298433.

The square root of 3348921960036 is 1830006.

It is a perfect power (a square), and thus also a powerful number.

3348921960036 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 9 + 21 + 9 + 600 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3192675681636 + 156246278400 = 1786806^2 + 395280^2 .

It is a super-2 number, since 2×33489219600362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 98803380 + ... + 98837268.

Almost surely, 23348921960036 is an apocalyptic number.

3348921960036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3348921960036 is the 1830006-th square number.

It is an amenable number.

3348921960036 is an abundant number, since it is smaller than the sum of its proper divisors (5438237852325).

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

3348921960036 is an frugal number, since it uses more digits than its factorization.

3348921960036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67800 (or 33894 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3348921960036 in words is "three trillion, three hundred forty-eight billion, nine hundred twenty-one million, nine hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 33889 67778 101667 135556 203334 305001 406668 610002 915003 1220004 1830006 2745009 3660012 5490018 8235027 10980036 16470054 24705081 32940108 49410162 98820324 1148464321 2296928642 3445392963 4593857284 6890785926 10336178889 13781571852 20672357778 31008536667 41344715556 62017073334 93025610001 124034146668 186051220002 279076830003 372102440004 558153660006 837230490009 1116307320012 1674460980018 3348921960036