3216326400 has 432 divisors, whose sum is σ = 13483859200. Its totient is φ = 734883840.

The previous prime is 3216326389. The next prime is 3216326401. The reversal of 3216326400 is 46236123.

3216326400 is a `hidden beast` number, since 3 + 2 + 16 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3216326400² = 20689511022673920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3216326401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208271 + ... + 1210929.

Almost surely, 2^3216326400 is an apocalyptic number.

3216326400 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 3216326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741929600).

3216326400 is an abundant number, since it is smaller than the sum of its proper divisors (10267532800).

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

3216326400 is a wasteful number, since it uses less digits than its factorization.

3216326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3216326400 is about 56712.6652521286. The cubic root of 3216326400 is about 1476.1144732421.

The spelling of 3216326400 in words is "three billion, two hundred sixteen million, three hundred twenty-six thousand, four hundred".