3937393792 has 64 divisors (see below), whose sum is σ = 8147433600. Its totient is φ = 1893981184.

The previous prime is 3937393787. The next prime is 3937393799. The reversal of 3937393792 is 2973937393.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3937393799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349398 + ... + 360490.

It is an arithmetic number, because the mean of its divisors is an integer number (127303650).

Almost surely, 2^3937393792 is an apocalyptic number.

3937393792 is a gapful number since it is divisible by the number (32) 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 3937393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073716800).

3937393792 is an abundant number, since it is smaller than the sum of its proper divisors (4210039808).

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

3937393792 is a wasteful number, since it uses less digits than its factorization.

3937393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11201 counting only the distinct ones).

The product of its digits is 5786802, while the sum is 55.

The square root of 3937393792 is about 62748.6556987478. The cubic root of 3937393792 is about 1579.0757014469.

The spelling of 3937393792 in words is "three billion, nine hundred thirty-seven million, three hundred ninety-three thousand, seven hundred ninety-two".