3279872400 has 480 divisors, whose sum is σ = 12606597888. Its totient is φ = 713318400.

The previous prime is 3279872369. The next prime is 3279872417. The reversal of 3279872400 is 42789723.

3279872400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18958714 + ... + 18958886.

Almost surely, 2^3279872400 is an apocalyptic number.

3279872400 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 3279872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303298944).

3279872400 is an abundant number, since it is smaller than the sum of its proper divisors (9326725488).

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

3279872400 is a wasteful number, since it uses less digits than its factorization.

3279872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3279872400 is about 57270.1702459492. The cubic root of 3279872400 is about 1485.7725010649.

The spelling of 3279872400 in words is "three billion, two hundred seventy-nine million, eight hundred seventy-two thousand, four hundred".