352800000000 has 972 divisors, whose sum is σ = 1481637424995. Its totient is φ = 80640000000.

The previous prime is 352799999999. The next prime is 352800000019. The reversal of 352800000000 is 8253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 336325764096 + 16474235904 = 579936^2 + 128352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=420000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 50399999997 + ... + 50400000003.

Almost surely, 2^352800000000 is an apocalyptic number.

352800000000 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 352800000000

352800000000 is an abundant number, since it is smaller than the sum of its proper divisors (1128837424995).

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

352800000000 is an frugal number, since it uses more digits than its factorization.

352800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Multiplying 352800000000 by its sum of digits (18), we get a square (6350400000000 = 2520000²).

352800000000 divided by its sum of digits (18) gives a square (19600000000 = 140000²).

Adding to 352800000000 its reverse (8253), we get a palindrome (352800008253).

The spelling of 352800000000 in words is "three hundred fifty-two billion, eight hundred million", and thus it is an aban number.