3937393824 has 432 divisors, whose sum is σ = 13578806304. Its totient is φ = 989936640.

The previous prime is 3937393799. The next prime is 3937393843. The reversal of 3937393824 is 4283937393.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58767039 + ... + 58767105.

It is an arithmetic number, because the mean of its divisors is an integer number (31432422).

Almost surely, 2^3937393824 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 3937393824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789403152).

3937393824 is an abundant number, since it is smaller than the sum of its proper divisors (9641412480).

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

3937393824 is a wasteful number, since it uses less digits than its factorization.

3937393824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 123 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 51.

The square root of 3937393824 is about 62748.6559537334. The cubic root of 3937393824 is about 1579.0757057247.

The spelling of 3937393824 in words is "three billion, nine hundred thirty-seven million, three hundred ninety-three thousand, eight hundred twenty-four".