3944378880 has 360 divisors, whose sum is σ = 14806734228. Its totient is φ = 969965568.

The previous prime is 3944378843. The next prime is 3944378927. The reversal of 3944378880 is 888734493.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 3935805696 = 2928^2 + 62736^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893254 + ... + 3894266.

Almost surely, 2^3944378880 is an apocalyptic number.

3944378880 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 3944378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403367114).

3944378880 is an abundant number, since it is smaller than the sum of its proper divisors (10862355348).

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

3944378880 is a wasteful number, since it uses less digits than its factorization.

3944378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3944378880 is about 62804.2902993100. The cubic root of 3944378880 is about 1580.0089301423.

The spelling of 3944378880 in words is "three billion, nine hundred forty-four million, three hundred seventy-eight thousand, eight hundred eighty".