352704000 has 320 divisors, whose sum is σ = 1286917632. Its totient is φ = 84992000.

The previous prime is 352703987. The next prime is 352704031. The reversal of 352704000 is 407253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×352704000² = 248800223232000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111917 + ... + 2112083.

Almost surely, 2^352704000 is an apocalyptic number.

352704000 is a gapful number since it is divisible by the number (30) 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 352704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

352704000 is an abundant number, since it is smaller than the sum of its proper divisors (934213632).

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

352704000 is a wasteful number, since it uses less digits than its factorization.

352704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 352704000 is about 18780.4153308706. The cubic root of 352704000 is about 706.5400667161.

The spelling of 352704000 in words is "three hundred fifty-two million, seven hundred four thousand".