3964484800 has 84 divisors (see below), whose sum is σ = 9939381696. Its totient is φ = 1555840000.

The previous prime is 3964484773. The next prime is 3964484807. The reversal of 3964484800 is 84844693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3964484807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61425 + ... + 108175.

Almost surely, 2^3964484800 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 3964484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4969690848).

3964484800 is an abundant number, since it is smaller than the sum of its proper divisors (5974896896).

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

3964484800 is a wasteful number, since it uses less digits than its factorization.

3964484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46826 (or 46811 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 3964484800 is about 62964.1548819644. The cubic root of 3964484800 is about 1582.6890064060.

The spelling of 3964484800 in words is "three billion, nine hundred sixty-four million, four hundred eighty-four thousand, eight hundred".