352652000 has 96 divisors (see below), whose sum is σ = 874377504. Its totient is φ = 139776000.

The previous prime is 352651979. The next prime is 352652011. The reversal of 352652000 is 256253.

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 15 ways as a sum of consecutive naturals, for example, 523664 + ... + 524336.

It is an arithmetic number, because the mean of its divisors is an integer number (9108099).

Almost surely, 2^352652000 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 352652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437188752).

352652000 is an abundant number, since it is smaller than the sum of its proper divisors (521725504).

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

352652000 is a wasteful number, since it uses less digits than its factorization.

352652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 352652000 is about 18779.0308589128. The cubic root of 352652000 is about 706.5053427084.

The spelling of 352652000 in words is "three hundred fifty-two million, six hundred fifty-two thousand".