352123800 has 384 divisors, whose sum is σ = 1339200000. Its totient is φ = 76392960.

The previous prime is 352123799. The next prime is 352123817. The reversal of 352123800 is 8321253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5968171 + ... + 5968229.

It is an arithmetic number, because the mean of its divisors is an integer number (3487500).

Almost surely, 2^352123800 is an apocalyptic number.

352123800 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 352123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600000).

352123800 is an abundant number, since it is smaller than the sum of its proper divisors (987076200).

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

352123800 is a wasteful number, since it uses less digits than its factorization.

352123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 352123800 is about 18764.9620303373. The cubic root of 352123800 is about 706.1524333333.

The spelling of 352123800 in words is "three hundred fifty-two million, one hundred twenty-three thousand, eight hundred".