326876400 has 360 divisors, whose sum is σ = 1223314560. Its totient is φ = 80640000.

The previous prime is 326876359. The next prime is 326876401. The reversal of 326876400 is 4678623.

326876400 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326876401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3236350 + ... + 3236450.

It is an arithmetic number, because the mean of its divisors is an integer number (3398096).

Almost surely, 2^326876400 is an apocalyptic number.

326876400 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 326876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611657280).

326876400 is an abundant number, since it is smaller than the sum of its proper divisors (896438160).

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

326876400 is a wasteful number, since it uses less digits than its factorization.

326876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 326876400 is about 18079.7234492124. The cubic root of 326876400 is about 688.8550640501.

The spelling of 326876400 in words is "three hundred twenty-six million, eight hundred seventy-six thousand, four hundred".