352944000 has 512 divisors, whose sum is σ = 1400256000. Its totient is φ = 87091200.

The previous prime is 352943989. The next prime is 352944001. The reversal of 352944000 is 449253.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352944001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8207979 + ... + 8208021.

It is an arithmetic number, because the mean of its divisors is an integer number (2734875).

Almost surely, 2^352944000 is an apocalyptic number.

352944000 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 352944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700128000).

352944000 is an abundant number, since it is smaller than the sum of its proper divisors (1047312000).

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

352944000 is a wasteful number, since it uses less digits than its factorization.

352944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 352944000 is about 18786.8038793191. The cubic root of 352944000 is about 706.7002871548.

The spelling of 352944000 in words is "three hundred fifty-two million, nine hundred forty-four thousand".