387901824 has 64 divisors (see below), whose sum is σ = 1036242480. Its totient is φ = 128563200.

The previous prime is 387901819. The next prime is 387901837. The reversal of 387901824 is 428109783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66714 + ... + 72294.

Almost surely, 2^387901824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518121240).

387901824 is an abundant number, since it is smaller than the sum of its proper divisors (648340656).

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

387901824 is a wasteful number, since it uses less digits than its factorization.

387901824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 387901824 is about 19695.2233803021. The cubic root of 387901824 is about 729.3017806298.

The spelling of 387901824 in words is "three hundred eighty-seven million, nine hundred one thousand, eight hundred twenty-four".