3857580165120 has 384 divisors, whose sum is σ = 13664197048320. Its totient is φ = 921207767040.

The previous prime is 3857580165079. The next prime is 3857580165163. The reversal of 3857580165120 is 215610857583.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3857580165120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22555449 + ... + 22725831.

It is an arithmetic number, because the mean of its divisors is an integer number (35583846480).

Almost surely, 2^{3857580165120} is an apocalyptic number.

3857580165120 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 3857580165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6832098524160).

3857580165120 is an abundant number, since it is smaller than the sum of its proper divisors (9806616883200).

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

3857580165120 is a wasteful number, since it uses less digits than its factorization.

3857580165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170491 (or 170471 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 3857580165120 in words is "three trillion, eight hundred fifty-seven billion, five hundred eighty million, one hundred sixty-five thousand, one hundred twenty".