3916944000 has 256 divisors, whose sum is σ = 14429001600. Its totient is φ = 1044403200.

The previous prime is 3916943977. The next prime is 3916944037. The reversal of 3916944000 is 4496193.

3916944000 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 (36).

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, 427467 + ... + 436533.

Almost surely, 2^3916944000 is an apocalyptic number.

3916944000 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 3916944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214500800).

3916944000 is an abundant number, since it is smaller than the sum of its proper divisors (10512057600).

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

3916944000 is an equidigital number, since it uses as much as digits as its factorization.

3916944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3916944000 is about 62585.4935268549. The cubic root of 3916944000 is about 1576.3371863933.

The spelling of 3916944000 in words is "three billion, nine hundred sixteen million, nine hundred forty-four thousand".