352225800 has 192 divisors, whose sum is σ = 1277448000. Its totient is φ = 88957440.

The previous prime is 352225789. The next prime is 352225823. The reversal of 352225800 is 8522253.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 100884 + ... + 104316.

It is an arithmetic number, because the mean of its divisors is an integer number (6653375).

Almost surely, 2^352225800 is an apocalyptic number.

352225800 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 352225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638724000).

352225800 is an abundant number, since it is smaller than the sum of its proper divisors (925222200).

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

352225800 is a wasteful number, since it uses less digits than its factorization.

352225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 352225800 is about 18767.6796647854. The cubic root of 352225800 is about 706.2206106756.

The spelling of 352225800 in words is "three hundred fifty-two million, two hundred twenty-five thousand, eight hundred".