352396800 has 720 divisors, whose sum is σ = 1583112960. Its totient is φ = 72990720.

The previous prime is 352396789. The next prime is 352396861. The reversal of 352396800 is 8693253.

352396800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15321589 + ... + 15321611.

It is an arithmetic number, because the mean of its divisors is an integer number (2198768).

Almost surely, 2^352396800 is an apocalyptic number.

352396800 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 352396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791556480).

352396800 is an abundant number, since it is smaller than the sum of its proper divisors (1230716160).

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

352396800 is a wasteful number, since it uses less digits than its factorization.

352396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 352396800 is about 18772.2348163451. The cubic root of 352396800 is about 706.3348784614.

The spelling of 352396800 in words is "three hundred fifty-two million, three hundred ninety-six thousand, eight hundred".