356952064 has 72 divisors (see below), whose sum is σ = 830490570. Its totient is φ = 152936448.

The previous prime is 356952059. The next prime is 356952067. The reversal of 356952064 is 460259653.

356952064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 345662464 + 11289600 = 18592^2 + 3360^2 .

It is not an unprimeable number, because it can be changed into a prime (356952067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98574 + ... + 102130.

Almost surely, 2^356952064 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 356952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415245285).

356952064 is an abundant number, since it is smaller than the sum of its proper divisors (473538506).

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

356952064 is an equidigital number, since it uses as much as digits as its factorization.

356952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 356952064 is about 18893.1750640278. The cubic root of 356952064 is about 709.3653417381.

The spelling of 356952064 in words is "three hundred fifty-six million, nine hundred fifty-two thousand, sixty-four".