350572800 has 324 divisors, whose sum is σ = 1258409040. Its totient is φ = 85708800.

The previous prime is 350572799. The next prime is 350572811. The reversal of 350572800 is 8275053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11308785 + ... + 11308815.

Almost surely, 2^350572800 is an apocalyptic number.

350572800 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 350572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629204520).

350572800 is an abundant number, since it is smaller than the sum of its proper divisors (907836240).

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

350572800 is a wasteful number, since it uses less digits than its factorization.

350572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 350572800 is about 18723.5893994715. The cubic root of 350572800 is about 705.1141105971.

The spelling of 350572800 in words is "three hundred fifty million, five hundred seventy-two thousand, eight hundred".