3856690927440 has 280 divisors, whose sum is σ = 14478220808520. Its totient is φ = 949339118592.

The previous prime is 3856690927363. The next prime is 3856690927547. The reversal of 3856690927440 is 447290966583.

3856690927440 is a `hidden beast` number, since 3 + 8 + 566 + 9 + 0 + 9 + 27 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317581839936 + 3539109087504 = 563544^2 + 1881252^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1785295 + ... + 3301614.

It is an arithmetic number, because the mean of its divisors is an integer number (51707931459).

Almost surely, 2^{3856690927440} is an apocalyptic number.

3856690927440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3856690927440 is an abundant number, since it is smaller than the sum of its proper divisors (10621529881080).

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

3856690927440 is a wasteful number, since it uses less digits than its factorization.

3856690927440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086953 (or 5086932 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3856690927440 in words is "three trillion, eight hundred fifty-six billion, six hundred ninety million, nine hundred twenty-seven thousand, four hundred forty".