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3730494880 = 25574181239
BaseRepresentation
bin1101111001011010…
…1101010110100000
3100121222120202221001
43132112231112200
530120001314010
61414101241344
7161305453240
oct33626552640
910558522831
103730494880
111644849022
12881403254
13475b3cc28
1427563bb20
1516c78bc3a
hexde5ad5a0

3730494880 has 96 divisors (see below), whose sum is σ = 10318129920. Its totient is φ = 1247815680.

The previous prime is 3730494871. The next prime is 3730494883. The reversal of 3730494880 is 884940373.

It is a self number, because there is not a number n which added to its sum of digits gives 3730494880.

It is not an unprimeable number, because it can be changed into a prime (3730494883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5301 + ... + 86539.

It is an arithmetic number, because the mean of its divisors is an integer number (107480520).

Almost surely, 23730494880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3730494880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159064960).

3730494880 is an abundant number, since it is smaller than the sum of its proper divisors (6587635040).

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

3730494880 is a wasteful number, since it uses less digits than its factorization.

3730494880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81302 (or 81294 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 3730494880 is about 61077.7773007499. Note that the first 3 decimals coincide. The cubic root of 3730494880 is about 1550.9179273230.

The spelling of 3730494880 in words is "three billion, seven hundred thirty million, four hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1640 2296 2870 3280 4592 5740 6560 9184 11480 22960 45920 81239 162478 324956 406195 568673 649912 812390 1137346 1299824 1624780 2274692 2599648 2843365 3249560 3330799 4549384 5686730 6499120 6661598 9098768 11373460 12998240 13323196 16653995 18197536 22746920 23315593 26646392 33307990 45493840 46631186 53292784 66615980 90987680 93262372 106585568 116577965 133231960 186524744 233155930 266463920 373049488 466311860 532927840 746098976 932623720 1865247440 3730494880