352968000 has 448 divisors, whose sum is σ = 1460699136. Its totient is φ = 72960000.

The previous prime is 352967999. The next prime is 352968023. The reversal of 352968000 is 869253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847905 + ... + 1848095.

Almost surely, 2^352968000 is an apocalyptic number.

352968000 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 352968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730349568).

352968000 is an abundant number, since it is smaller than the sum of its proper divisors (1107731136).

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

352968000 is a wasteful number, since it uses less digits than its factorization.

352968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 352968000 is about 18787.4426146828. The cubic root of 352968000 is about 706.7163052035.

The spelling of 352968000 in words is "three hundred fifty-two million, nine hundred sixty-eight thousand".