387056640 has 176 divisors, whose sum is σ = 1254532608. Its totient is φ = 101842944.

The previous prime is 387056633. The next prime is 387056641. The reversal of 387056640 is 46650783.

It is not an unprimeable number, because it can be changed into a prime (387056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735569 + ... + 1735791.

Almost surely, 2^387056640 is an apocalyptic number.

387056640 is a gapful number since it is divisible by the number (30) 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 387056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627266304).

387056640 is an abundant number, since it is smaller than the sum of its proper divisors (867475968).

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

387056640 is a wasteful number, since it uses less digits than its factorization.

387056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 387056640 is about 19673.7551067406. The cubic root of 387056640 is about 728.7717131577.

The spelling of 387056640 in words is "three hundred eighty-seven million, fifty-six thousand, six hundred forty".