3944592960 has 896 divisors, whose sum is σ = 17149169664. Its totient is φ = 743178240.

The previous prime is 3944592931. The next prime is 3944592961. The reversal of 3944592960 is 692954493.

3944592960 is digitally balanced in base 2 and base 4, because in such bases 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 (51).

It is not an unprimeable number, because it can be changed into a prime (3944592961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54035484 + ... + 54035556.

Almost surely, 2^3944592960 is an apocalyptic number.

3944592960 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 3944592960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574584832).

3944592960 is an abundant number, since it is smaller than the sum of its proper divisors (13204576704).

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

3944592960 is a wasteful number, since it uses less digits than its factorization.

3944592960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The square root of 3944592960 is about 62805.9946183483. The cubic root of 3944592960 is about 1580.0375144647.

The spelling of 3944592960 in words is "three billion, nine hundred forty-four million, five hundred ninety-two thousand, nine hundred sixty".