385627205376 has 864 divisors, whose sum is σ = 1401845186560. Its totient is φ = 103276228608.

The previous prime is 385627205351. The next prime is 385627205399. The reversal of 385627205376 is 673502726583.

It is a happy number.

385627205376 is a `hidden beast` number, since 3 + 8 + 5 + 62 + 7 + 205 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×385627205376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050755145 + ... + 1050755511.

Almost surely, 2^385627205376 is an apocalyptic number.

385627205376 is a gapful number since it is divisible by the number (36) 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 385627205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700922593280).

385627205376 is an abundant number, since it is smaller than the sum of its proper divisors (1016217981184).

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

385627205376 is a wasteful number, since it uses less digits than its factorization.

385627205376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 385627205376 in words is "three hundred eighty-five billion, six hundred twenty-seven million, two hundred five thousand, three hundred seventy-six".