326894400 has 672 divisors, whose sum is σ = 1451335680. Its totient is φ = 69949440.

The previous prime is 326894389. The next prime is 326894417. The reversal of 326894400 is 4498623.

It is a happy number.

326894400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6955177 + ... + 6955223.

Almost surely, 2^326894400 is an apocalyptic number.

326894400 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 326894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725667840).

326894400 is an abundant number, since it is smaller than the sum of its proper divisors (1124441280).

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

326894400 is a wasteful number, since it uses less digits than its factorization.

326894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 326894400 is about 18080.2212375845. The cubic root of 326894400 is about 688.8677081398.

The spelling of 326894400 in words is "three hundred twenty-six million, eight hundred ninety-four thousand, four hundred".