352384000 has 88 divisors (see below), whose sum is σ = 879440328. Its totient is φ = 140902400.

The previous prime is 352383991. The next prime is 352384031. The reversal of 352384000 is 483253.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 351637504 = 864^2 + 18752^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126624 + ... + 129376.

Almost surely, 2^352384000 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 352384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439720164).

352384000 is an abundant number, since it is smaller than the sum of its proper divisors (527056328).

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

352384000 is an equidigital number, since it uses as much as digits as its factorization.

352384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 352384000 is about 18771.8938842089. The cubic root of 352384000 is about 706.3263263634.

The spelling of 352384000 in words is "three hundred fifty-two million, three hundred eighty-four thousand".