385375993920 has 224 divisors, whose sum is σ = 1376307575040. Its totient is φ = 102766745088.

The previous prime is 385375993909. The next prime is 385375993939. The reversal of 385375993920 is 29399573583.

385375993920 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 7 + 599 + 39 + 2 + 0 = 666.

It is a super-3 number, since 3×385375993920³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 424509 + ... + 975171.

Almost surely, 2^385375993920 is an apocalyptic number.

385375993920 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 385375993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688153787520).

385375993920 is an abundant number, since it is smaller than the sum of its proper divisors (990931581120).

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

385375993920 is an frugal number, since it uses more digits than its factorization.

385375993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550701 (or 550673 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 385375993920 in words is "three hundred eighty-five billion, three hundred seventy-five million, nine hundred ninety-three thousand, nine hundred twenty".