352244880 has 120 divisors (see below), whose sum is σ = 1273986168. Its totient is φ = 86704128.

The previous prime is 352244861. The next prime is 352244903. The reversal of 352244880 is 88442253.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 352237824 = 84^2 + 18768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9457 + ... + 28176.

Almost surely, 2^352244880 is an apocalyptic number.

352244880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352244880 is an abundant number, since it is smaller than the sum of its proper divisors (921741288).

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

352244880 is a wasteful number, since it uses less digits than its factorization.

352244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37665 (or 37656 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 352244880 is about 18768.1879785983. The cubic root of 352244880 is about 706.2333623877.

It can be divided in two parts, 35224 and 4880, that added together give a palindrome (40104).

The spelling of 352244880 in words is "three hundred fifty-two million, two hundred forty-four thousand, eight hundred eighty".