352525824 has 160 divisors (see below), whose sum is σ = 1192899840. Its totient is φ = 100694016.

The previous prime is 352525819. The next prime is 352525841. The reversal of 352525824 is 428525253.

It is a happy number.

352525824 is a `hidden beast` number, since 3 + 52 + 525 + 82 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94947 + ... + 98589.

It is an arithmetic number, because the mean of its divisors is an integer number (7455624).

Almost surely, 2^352525824 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 352525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596449920).

352525824 is an abundant number, since it is smaller than the sum of its proper divisors (840374016).

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

352525824 is an equidigital number, since it uses as much as digits as its factorization.

352525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3655 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 352525824 is about 18775.6710665691. The cubic root of 352525824 is about 706.4210720470.

The spelling of 352525824 in words is "three hundred fifty-two million, five hundred twenty-five thousand, eight hundred twenty-four".