3944445120 has 896 divisors, whose sum is σ = 17849088000. Its totient is φ = 819624960.

The previous prime is 3944445107. The next prime is 3944445133. The reversal of 3944445120 is 215444493.

3944445120 is a `hidden beast` number, since 3 + 94 + 4 + 445 + 120 = 666.

3944445120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3944445107) and next prime (3944445133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 358585915 + ... + 358585925.

Almost surely, 2^3944445120 is an apocalyptic number.

3944445120 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 3944445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924544000).

3944445120 is an abundant number, since it is smaller than the sum of its proper divisors (13904642880).

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

3944445120 is an equidigital number, since it uses as much as digits as its factorization.

3944445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3944445120 is about 62804.8176496039. The cubic root of 3944445120 is about 1580.0177747293.

The spelling of 3944445120 in words is "three billion, nine hundred forty-four million, four hundred forty-five thousand, one hundred twenty".