326634400 has 72 divisors (see below), whose sum is σ = 800784684. Its totient is φ = 130099200.

The previous prime is 326634397. The next prime is 326634433. The reversal of 326634400 is 4436623.

It can be written as a sum of positive squares in 6 ways, for example, as 244985104 + 81649296 = 15652^2 + 9036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224074 + ... + 225526.

Almost surely, 2^326634400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400392342).

326634400 is an abundant number, since it is smaller than the sum of its proper divisors (474150284).

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

326634400 is a wasteful number, since it uses less digits than its factorization.

326634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 326634400 is about 18073.0296298103. The cubic root of 326634400 is about 688.6850261995.

The spelling of 326634400 in words is "three hundred twenty-six million, six hundred thirty-four thousand, four hundred".