3996464640 has 320 divisors, whose sum is σ = 14801909760. Its totient is φ = 900956160.

The previous prime is 3996464639. The next prime is 3996464653. The reversal of 3996464640 is 464646993.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4246570 + ... + 4247510.

It is an arithmetic number, because the mean of its divisors is an integer number (46255968).

Almost surely, 2^3996464640 is an apocalyptic number.

3996464640 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 3996464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400954880).

3996464640 is an abundant number, since it is smaller than the sum of its proper divisors (10805445120).

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

3996464640 is an equidigital number, since it uses as much as digits as its factorization.

3996464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The square root of 3996464640 is about 63217.5975500493. The cubic root of 3996464640 is about 1586.9332446036.

The spelling of 3996464640 in words is "three billion, nine hundred ninety-six million, four hundred sixty-four thousand, six hundred forty".