3272012800 has 396 divisors, whose sum is σ = 10082048160. Its totient is φ = 1028505600.

The previous prime is 3272012791. The next prime is 3272012801. The reversal of 3272012800 is 82102723.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3272012801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 105548785 + ... + 105548815.

Almost surely, 2^3272012800 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 3272012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041024080).

3272012800 is an abundant number, since it is smaller than the sum of its proper divisors (6810035360).

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

3272012800 is a wasteful number, since it uses less digits than its factorization.

3272012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 3272012800 is about 57201.5104695671. The cubic root of 3272012800 is about 1484.5847599710.

The spelling of 3272012800 in words is "three billion, two hundred seventy-two million, twelve thousand, eight hundred".