352981152 has 120 divisors (see below), whose sum is σ = 1062585216. Its totient is φ = 114887808.

The previous prime is 352981121. The next prime is 352981169. The reversal of 352981152 is 251189253.

352981152 is a `hidden beast` number, since 3 + 529 + 81 + 1 + 52 = 666.

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 19 ways as a sum of consecutive naturals, for example, 109873 + ... + 113039.

Almost surely, 2^352981152 is an apocalyptic number.

352981152 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 352981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531292608).

352981152 is an abundant number, since it is smaller than the sum of its proper divisors (709604064).

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

352981152 is a wasteful number, since it uses less digits than its factorization.

352981152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3215 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 352981152 is about 18787.7926324515. The cubic root of 352981152 is about 706.7250827861.

It can be divided in two parts, 3529 and 81152, that added together give a square (84681 = 291²).

The spelling of 352981152 in words is "three hundred fifty-two million, nine hundred eighty-one thousand, one hundred fifty-two".