352875494400 has 1584 divisors, whose sum is σ = 1451912404992. Its totient is φ = 74937139200.

The previous prime is 352875494399. The next prime is 352875494437. The reversal of 352875494400 is 4494578253.

It is a super-2 number, since 2×352875494400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2778547137 + ... + 2778547263.

Almost surely, 2^352875494400 is an apocalyptic number.

352875494400 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 352875494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725956202496).

352875494400 is an abundant number, since it is smaller than the sum of its proper divisors (1099036910592).

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

352875494400 is a wasteful number, since it uses less digits than its factorization.

352875494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 352875494400 in words is "three hundred fifty-two billion, eight hundred seventy-five million, four hundred ninety-four thousand, four hundred".