388680432 has 80 divisors (see below), whose sum is σ = 1153497600. Its totient is φ = 110474496.

The previous prime is 388680431. The next prime is 388680433. The reversal of 388680432 is 234086883.

It is an interprime number because it is at equal distance from previous prime (388680431) and next prime (388680433).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388680431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63958 + ... + 69770.

It is an arithmetic number, because the mean of its divisors is an integer number (14418720).

Almost surely, 2^388680432 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 388680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576748800).

388680432 is an abundant number, since it is smaller than the sum of its proper divisors (764817168).

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

388680432 is a wasteful number, since it uses less digits than its factorization.

388680432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 388680432 is about 19714.9798883996. The cubic root of 388680432 is about 729.7894132044.

The spelling of 388680432 in words is "three hundred eighty-eight million, six hundred eighty thousand, four hundred thirty-two".