388976640 has 208 divisors, whose sum is σ = 1343061888. Its totient is φ = 95551488.

The previous prime is 388976633. The next prime is 388976641. The reversal of 388976640 is 46679883.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388976641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798477 + ... + 798963.

Almost surely, 2^388976640 is an apocalyptic number.

388976640 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 388976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671530944).

388976640 is an abundant number, since it is smaller than the sum of its proper divisors (954085248).

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

388976640 is a wasteful number, since it uses less digits than its factorization.

388976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 388976640 is about 19722.4907149173. The cubic root of 388976640 is about 729.9747536149.

The spelling of 388976640 in words is "three hundred eighty-eight million, nine hundred seventy-six thousand, six hundred forty".