3272428800 has 162 divisors, whose sum is σ = 11699877462. Its totient is φ = 872632320.

The previous prime is 3272428693. The next prime is 3272428813. The reversal of 3272428800 is 88242723.

It can be written as a sum of positive squares in 3 ways, for example, as 1009714176 + 2262714624 = 31776^2 + 47568^2 .

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 17 ways as a sum of consecutive naturals, for example, 29194 + ... + 86006.

Almost surely, 2^3272428800 is an apocalyptic number.

3272428800 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 3272428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849938731).

3272428800 is an abundant number, since it is smaller than the sum of its proper divisors (8427448662).

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

3272428800 is a wasteful number, since it uses less digits than its factorization.

3272428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56845 (or 56823 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3272428800 is about 57205.1466216109. The cubic root of 3272428800 is about 1484.6476734463.

The spelling of 3272428800 in words is "three billion, two hundred seventy-two million, four hundred twenty-eight thousand, eight hundred".