3791991168 has 384 divisors, whose sum is σ = 13366080000. Its totient is φ = 1007271936.

The previous prime is 3791991157. The next prime is 3791991173. The reversal of 3791991168 is 8611991973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19055133 + ... + 19055331.

It is an arithmetic number, because the mean of its divisors is an integer number (34807500).

Almost surely, 2^3791991168 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 3791991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040000).

3791991168 is an abundant number, since it is smaller than the sum of its proper divisors (9574088832).

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

3791991168 is a wasteful number, since it uses less digits than its factorization.

3791991168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 367 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 3791991168 is about 61579.1455608147. The cubic root of 3791991168 is about 1559.3936894308.

The spelling of 3791991168 in words is "three billion, seven hundred ninety-one million, nine hundred ninety-one thousand, one hundred sixty-eight".