352868100 has 144 divisors (see below), whose sum is σ = 1107970752. Its totient is φ = 86192640.

The previous prime is 352868063. The next prime is 352868101. The reversal of 352868100 is 1868253.

It is a happy number.

It is a super-2 number, since 2×352868100² = 249031791995220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352868101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674439 + ... + 674961.

Almost surely, 2^352868100 is an apocalyptic number.

352868100 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 352868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553985376).

352868100 is an abundant number, since it is smaller than the sum of its proper divisors (755102652).

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

352868100 is a wasteful number, since it uses less digits than its factorization.

352868100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 352868100 is about 18784.7837357793. The cubic root of 352868100 is about 706.6496252961.

The spelling of 352868100 in words is "three hundred fifty-two million, eight hundred sixty-eight thousand, one hundred".