388411632 has 240 divisors, whose sum is σ = 1323129600. Its totient is φ = 108743040.

The previous prime is 388411627. The next prime is 388411633. The reversal of 388411632 is 236114883.

388411632 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 11 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388411633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248757 + ... + 1249067.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^388411632 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 388411632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661564800).

388411632 is an abundant number, since it is smaller than the sum of its proper divisors (934717968).

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

388411632 is a wasteful number, since it uses less digits than its factorization.

388411632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 388411632 is about 19708.1615580957. The cubic root of 388411632 is about 729.6211407482.

The spelling of 388411632 in words is "three hundred eighty-eight million, four hundred eleven thousand, six hundred thirty-two".