352253312 has 64 divisors (see below), whose sum is σ = 742988400. Its totient is φ = 165888000.

The previous prime is 352253287. The next prime is 352253323. The reversal of 352253312 is 213352253.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585812 + ... + 586412.

Almost surely, 2^352253312 is an apocalyptic number.

352253312 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 352253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371494200).

352253312 is an abundant number, since it is smaller than the sum of its proper divisors (390735088).

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

352253312 is a wasteful number, since it uses less digits than its factorization.

352253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its digits is 5400, while the sum is 26.

The square root of 352253312 is about 18768.4126126852. The cubic root of 352253312 is about 706.2389975888.

The spelling of 352253312 in words is "three hundred fifty-two million, two hundred fifty-three thousand, three hundred twelve".