387557856 has 216 divisors, whose sum is σ = 1327664520. Its totient is φ = 106799616.

The previous prime is 387557809. The next prime is 387557861. The reversal of 387557856 is 658755783.

387557856 is a `hidden beast` number, since 3 + 8 + 7 + 557 + 85 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 408775 + ... + 409721.

It is an arithmetic number, because the mean of its divisors is an integer number (6146595).

Almost surely, 2^387557856 is an apocalyptic number.

387557856 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 387557856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663832260).

387557856 is an abundant number, since it is smaller than the sum of its proper divisors (940106664).

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

387557856 is a wasteful number, since it uses less digits than its factorization.

387557856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 988 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 387557856 is about 19686.4891740503. The cubic root of 387557856 is about 729.0861499005.

The spelling of 387557856 in words is "three hundred eighty-seven million, five hundred fifty-seven thousand, eight hundred fifty-six".