387954756 has 162 divisors, whose sum is σ = 1213415658. Its totient is φ = 104186880.

The previous prime is 387954733. The next prime is 387954767. The reversal of 387954756 is 657459783.

387954756 is a `hidden beast` number, since 3 + 87 + 95 + 475 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 38638656 + 349316100 = 6216^2 + 18690^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 509416 + ... + 510176.

Almost surely, 2^387954756 is an apocalyptic number.

387954756 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 387954756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606707829).

387954756 is an abundant number, since it is smaller than the sum of its proper divisors (825460902).

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

387954756 is a wasteful number, since it uses less digits than its factorization.

387954756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 790 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 387954756 is about 19696.5671120630. The cubic root of 387954756 is about 729.3349519494.

The spelling of 387954756 in words is "three hundred eighty-seven million, nine hundred fifty-four thousand, seven hundred fifty-six".