3814591968 has 240 divisors, whose sum is σ = 12305717424. Its totient is φ = 1149603840.

The previous prime is 3814591951. The next prime is 3814591973. The reversal of 3814591968 is 8691954183.

3814591968 is a `hidden beast` number, since 38 + 14 + 591 + 9 + 6 + 8 = 666.

3814591968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3814591968² = 29102223764660226048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9608346 + ... + 9608742.

Almost surely, 2^3814591968 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 3814591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152858712).

3814591968 is an abundant number, since it is smaller than the sum of its proper divisors (8491125456).

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

3814591968 is a wasteful number, since it uses less digits than its factorization.

3814591968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 750 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 3814591968 is about 61762.3831146435. The cubic root of 3814591968 is about 1562.4856232320.

The spelling of 3814591968 in words is "three billion, eight hundred fourteen million, five hundred ninety-one thousand, nine hundred sixty-eight".