3857696305920 has 1008 divisors, whose sum is σ = 15055992806400. Its totient is φ = 943003607040.

The previous prime is 3857696305919. The next prime is 3857696305933. The reversal of 3857696305920 is 295036967583.

3857696305920 is a `hidden beast` number, since 3 + 8 + 5 + 7 + 6 + 9 + 6 + 30 + 592 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 549604171 + ... + 549611189.

It is an arithmetic number, because the mean of its divisors is an integer number (14936500800).

Almost surely, 2^{3857696305920} is an apocalyptic number.

3857696305920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857696305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527996403200).

3857696305920 is an abundant number, since it is smaller than the sum of its proper divisors (11198296500480).

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

3857696305920 is an equidigital number, since it uses as much as digits as its factorization.

3857696305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7079 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 3857696305920 in words is "three trillion, eight hundred fifty-seven billion, six hundred ninety-six million, three hundred five thousand, nine hundred twenty".