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3740088330368 = 27131728219473
BaseRepresentation
bin110110011011001110101…
…000101110100010000000
3111020112211012000212011122
4312123032220232202000
5442234200103032433
611542101200531412
7534132606161255
oct66331650564200
914215735025148
103740088330368
1112121873a4315
12504a30020b68
132118c5438390
14cd0423dd42c
156744ce30198
hex366cea2e880

3740088330368 has 192 divisors, whose sum is σ = 8535162411720. Its totient is φ = 1622503587840.

The previous prime is 3740088330311. The next prime is 3740088330373. The reversal of 3740088330368 is 8630338800473.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1498743989824 + 2241344340544 = 1224232^2 + 1497112^2 .

It is a super-2 number, since 2×37400883303682 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394810880 + ... + 394820352.

Almost surely, 23740088330368 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 3740088330368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267581205860).

3740088330368 is an abundant number, since it is smaller than the sum of its proper divisors (4795074081352).

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

3740088330368 is a wasteful number, since it uses less digits than its factorization.

3740088330368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10355 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 3740088330368 in words is "three trillion, seven hundred forty billion, eighty-eight million, three hundred thirty thousand, three hundred sixty-eight".