352693656 has 128 divisors (see below), whose sum is σ = 1178688000. Its totient is φ = 95458176.

The previous prime is 352693651. The next prime is 352693703. The reversal of 352693656 is 656396253.

It is a super-3 number, since 3×352693656³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352693651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22590 + ... + 34866.

It is an arithmetic number, because the mean of its divisors is an integer number (9208500).

Almost surely, 2^352693656 is an apocalyptic number.

352693656 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 352693656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589344000).

352693656 is an abundant number, since it is smaller than the sum of its proper divisors (825994344).

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

352693656 is a wasteful number, since it uses less digits than its factorization.

352693656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12318 (or 12308 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 352693656 is about 18780.1399355809. The cubic root of 352693656 is about 706.5331595816.

The spelling of 352693656 in words is "three hundred fifty-two million, six hundred ninety-three thousand, six hundred fifty-six".