388376352 has 432 divisors, whose sum is σ = 1450907640. Its totient is φ = 97542144.

The previous prime is 388376341. The next prime is 388376353. The reversal of 388376352 is 253673883.

388376352 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 7 + 635 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285069456 + 103306896 = 16884^2 + 10164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 388376298 and 388376307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388376353) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5320188 + ... + 5320260.

Almost surely, 2^388376352 is an apocalyptic number.

388376352 is a gapful number since it is divisible by the number (32) 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 388376352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725453820).

388376352 is an abundant number, since it is smaller than the sum of its proper divisors (1062531288).

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

388376352 is a wasteful number, since it uses less digits than its factorization.

388376352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 388376352 is about 19707.2664771145. The cubic root of 388376352 is about 729.5990492254.

The spelling of 388376352 in words is "three hundred eighty-eight million, three hundred seventy-six thousand, three hundred fifty-two".