3944700648000 has 1792 divisors, whose sum is σ = 17301169766400. Its totient is φ = 871720704000.

The previous prime is 3944700647983. The next prime is 3944700648017. The reversal of 3944700648000 is 8460074493.

It is an interprime number because it is at equal distance from previous prime (3944700647983) and next prime (3944700648017).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3796631481 + ... + 3796632519.

Almost surely, 2^{3944700648000} is an apocalyptic number.

3944700648000 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 3944700648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650584883200).

3944700648000 is an abundant number, since it is smaller than the sum of its proper divisors (13356469118400).

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

3944700648000 is an equidigital number, since it uses as much as digits as its factorization.

3944700648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1087 counting only the distinct ones).

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

The spelling of 3944700648000 in words is "three trillion, nine hundred forty-four billion, seven hundred million, six hundred forty-eight thousand".