3960744480 has 864 divisors, whose sum is σ = 17855510400. Its totient is φ = 823011840.

The previous prime is 3960744413. The next prime is 3960744493. The reversal of 3960744480 is 844470693.

3960744480 is a `hidden beast` number, since 39 + 607 + 4 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 360067675 + ... + 360067685.

It is an arithmetic number, because the mean of its divisors is an integer number (20666100).

Almost surely, 2^3960744480 is an apocalyptic number.

3960744480 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 3960744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927755200).

3960744480 is an abundant number, since it is smaller than the sum of its proper divisors (13894765920).

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

3960744480 is an frugal number, since it uses more digits than its factorization.

3960744480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3960744480 is about 62934.4458941207. The cubic root of 3960744480 is about 1582.1911169113.

The spelling of 3960744480 in words is "three billion, nine hundred sixty million, seven hundred forty-four thousand, four hundred eighty".