352988944 has 135 divisors (see below), whose sum is σ = 889046613. Its totient is φ = 135273600.

The previous prime is 352988939. The next prime is 352988953. The reversal of 352988944 is 449889253.

The square root of 352988944 is 18788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11478544 + 341510400 = 3388^2 + 18480^2 .

Its product of digits (2488320) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 352988891 and 352988900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5786674 + ... + 5786734.

Almost surely, 2^352988944 is an apocalyptic number.

352988944 is the 18788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352988944

352988944 is an abundant number, since it is smaller than the sum of its proper divisors (536057669).

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

352988944 is a wasteful number, since it uses less digits than its factorization.

352988944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 81 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The cubic root of 352988944 is about 706.7302830273.

The spelling of 352988944 in words is "three hundred fifty-two million, nine hundred eighty-eight thousand, nine hundred forty-four".