3937921344 has 336 divisors, whose sum is σ = 13863328128. Its totient is φ = 1043103744.

The previous prime is 3937921331. The next prime is 3937921369. The reversal of 3937921344 is 4431297393.

3937921344 is a `hidden beast` number, since 393 + 7 + 9 + 213 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3937921344.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5003319 + ... + 5004105.

Almost surely, 2^3937921344 is an apocalyptic number.

3937921344 is a gapful number since it is divisible by the number (34) 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 3937921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931664064).

3937921344 is an abundant number, since it is smaller than the sum of its proper divisors (9925406784).

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

3937921344 is a wasteful number, since it uses less digits than its factorization.

3937921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 889 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 3937921344 is about 62752.8592495991. The cubic root of 3937921344 is about 1579.1462224891.

The spelling of 3937921344 in words is "three billion, nine hundred thirty-seven million, nine hundred twenty-one thousand, three hundred forty-four".