352975104 has 144 divisors (see below), whose sum is σ = 1053068800. Its totient is φ = 116619264.

The previous prime is 352975069. The next prime is 352975213. The reversal of 352975104 is 401579253.

352975104 is a `hidden beast` number, since 3 + 52 + 97 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 15 ways as a sum of consecutive naturals, for example, 1541262 + ... + 1541490.

Almost surely, 2^352975104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526534400).

352975104 is an abundant number, since it is smaller than the sum of its proper divisors (700093696).

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

352975104 is a wasteful number, since it uses less digits than its factorization.

352975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 352975104 is about 18787.6316761853. The cubic root of 352975104 is about 706.7210464066.

It can be divided in two parts, 35297 and 5104, that added together give a square (40401 = 201²).

The spelling of 352975104 in words is "three hundred fifty-two million, nine hundred seventy-five thousand, one hundred four".