3991757952 has 192 divisors, whose sum is σ = 13283827200. Its totient is φ = 1052706816.

The previous prime is 3991757941. The next prime is 3991757993. The reversal of 3991757952 is 2597571993.

3991757952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 3991757892 and 3991757901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236449 + ... + 252767.

It is an arithmetic number, because the mean of its divisors is an integer number (69186600).

Almost surely, 2^3991757952 is an apocalyptic number.

3991757952 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 3991757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641913600).

3991757952 is an abundant number, since it is smaller than the sum of its proper divisors (9292069248).

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

3991757952 is a wasteful number, since it uses less digits than its factorization.

3991757952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16363 (or 16344 counting only the distinct ones).

The product of its digits is 5358150, while the sum is 57.

The square root of 3991757952 is about 63180.3604927987. The cubic root of 3991757952 is about 1586.3100159550.

The spelling of 3991757952 in words is "three billion, nine hundred ninety-one million, seven hundred fifty-seven thousand, nine hundred fifty-two".