387074688 has 512 divisors, whose sum is σ = 1480550400. Its totient is φ = 86261760.

The previous prime is 387074627. The next prime is 387074693. The reversal of 387074688 is 886470783.

It is a self number, because there is not a number n which added to its sum of digits gives 387074688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7303270 + ... + 7303322.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^387074688 is an apocalyptic number.

387074688 is a gapful number since it is divisible by the number (38) 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 387074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

387074688 is an abundant number, since it is smaller than the sum of its proper divisors (1093475712).

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

387074688 is a wasteful number, since it uses less digits than its factorization.

387074688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 387074688 is about 19674.2137835289. The cubic root of 387074688 is about 728.7830402401.

The spelling of 387074688 in words is "three hundred eighty-seven million, seventy-four thousand, six hundred eighty-eight".