3946944000 has 320 divisors, whose sum is σ = 13377304512. Its totient is φ = 1032192000.

The previous prime is 3946943977. The next prime is 3946944013. The reversal of 3946944000 is 4496493.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3946944000.

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, 11711832 + ... + 11712168.

Almost surely, 2^3946944000 is an apocalyptic number.

3946944000 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 3946944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688652256).

3946944000 is an abundant number, since it is smaller than the sum of its proper divisors (9430360512).

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

3946944000 is an equidigital number, since it uses as much as digits as its factorization.

3946944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3946944000 is about 62824.7085150421. The cubic root of 3946944000 is about 1580.3513612644.

The spelling of 3946944000 in words is "three billion, nine hundred forty-six million, nine hundred forty-four thousand".