352772064 has 96 divisors (see below), whose sum is σ = 1062190080. Its totient is φ = 113788800.

The previous prime is 352772053. The next prime is 352772071. The reversal of 352772064 is 460277253.

It is a happy number.

352772064 is a `hidden beast` number, since 3 + 527 + 72 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20199 + ... + 33369.

It is an arithmetic number, because the mean of its divisors is an integer number (11064480).

Almost surely, 2^352772064 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 352772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531095040).

352772064 is an abundant number, since it is smaller than the sum of its proper divisors (709418016).

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

352772064 is a wasteful number, since it uses less digits than its factorization.

352772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13221 (or 13207 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 352772064 is about 18782.2273439547. The cubic root of 352772064 is about 706.5855126140.

The spelling of 352772064 in words is "three hundred fifty-two million, seven hundred seventy-two thousand, sixty-four".