352387984 has 75 divisors (see below), whose sum is σ = 780383553. Its totient is φ = 154080576.

The previous prime is 352387979. The next prime is 352387993. The reversal of 352387984 is 489783253.

The square root of 352387984 is 18772.

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

352387984 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., 52128400 + 300259584 = 7220^2 + 17328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18546727 + ... + 18546745.

Almost surely, 2^352387984 is an apocalyptic number.

352387984 is the 18772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352387984

352387984 is an abundant number, since it is smaller than the sum of its proper divisors (427995569).

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

352387984 is an frugal number, since it uses more digits than its factorization.

352387984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 34 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The cubic root of 352387984 is about 706.3289882261.

Multiplying 352387984 by its sum of digits (49), we get a square (17267011216 = 131404²).

The spelling of 352387984 in words is "three hundred fifty-two million, three hundred eighty-seven thousand, nine hundred eighty-four".