3921375744 has 360 divisors, whose sum is σ = 13421403996. Its totient is φ = 1094860800.

The previous prime is 3921375683. The next prime is 3921375791. The reversal of 3921375744 is 4475731293.

It can be written as a sum of positive squares in 2 ways, for example, as 3686918400 + 234457344 = 60720^2 + 15312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3921375744.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7248114 + ... + 7248654.

Almost surely, 2^3921375744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3921375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710701998).

3921375744 is an abundant number, since it is smaller than the sum of its proper divisors (9500028252).

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

3921375744 is a wasteful number, since it uses less digits than its factorization.

3921375744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 570 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3921375744 is about 62620.8890387225. The cubic root of 3921375744 is about 1576.9314668519.

The spelling of 3921375744 in words is "three billion, nine hundred twenty-one million, three hundred seventy-five thousand, seven hundred forty-four".