328374841600 has 729 divisors, whose sum is σ = 962003859453. Its totient is φ = 110903869440.

The previous prime is 328374841559. The next prime is 328374841607. The reversal of 328374841600 is 6148473823.

The square root of 328374841600 is 573040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 303768527104 + 24606314496 = 551152^2 + 156864^2 .

It is not an unprimeable number, because it can be changed into a prime (328374841607) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11323270386 + ... + 11323270414.

Almost surely, 2^328374841600 is an apocalyptic number.

328374841600 is the 573040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328374841600

328374841600 is an abundant number, since it is smaller than the sum of its proper divisors (633629017853).

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

328374841600 is a wasteful number, since it uses less digits than its factorization.

328374841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 328374841600 in words is "three hundred twenty-eight billion, three hundred seventy-four million, eight hundred forty-one thousand, six hundred".