352008960 has 216 divisors, whose sum is σ = 1175013840. Its totient is φ = 89800704.

The previous prime is 352008959. The next prime is 352008971. The reversal of 352008960 is 69800253.

It is a happy number.

It is a congruent number.

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, 3229386 + ... + 3229494.

Almost surely, 2^352008960 is an apocalyptic number.

352008960 is a gapful number since it is divisible by the number (30) 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 352008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587506920).

352008960 is an abundant number, since it is smaller than the sum of its proper divisors (823004880).

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

352008960 is a wasteful number, since it uses less digits than its factorization.

352008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 352008960 is about 18761.9018225765. The cubic root of 352008960 is about 706.0756579085.

The spelling of 352008960 in words is "three hundred fifty-two million, eight thousand, nine hundred sixty".