352388736 has 192 divisors, whose sum is σ = 1174305600. Its totient is φ = 99348480.

The previous prime is 352388731. The next prime is 352388737. The reversal of 352388736 is 637883253.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 352388691 and 352388700.

It is not an unprimeable number, because it can be changed into a prime (352388731) 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 23 ways as a sum of consecutive naturals, for example, 717451 + ... + 717941.

It is an arithmetic number, because the mean of its divisors is an integer number (6116175).

Almost surely, 2^352388736 is an apocalyptic number.

352388736 is a gapful number since it is divisible by the number (36) 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 352388736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587152800).

352388736 is an abundant number, since it is smaller than the sum of its proper divisors (821916864).

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

352388736 is a wasteful number, since it uses less digits than its factorization.

352388736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

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

The square root of 352388736 is about 18772.0200298210. The cubic root of 352388736 is about 706.3294906638.

The spelling of 352388736 in words is "three hundred fifty-two million, three hundred eighty-eight thousand, seven hundred thirty-six".