3787591968 has 96 divisors (see below), whose sum is σ = 11063646720. Its totient is φ = 1260645120.

The previous prime is 3787591963. The next prime is 3787591979. The reversal of 3787591968 is 8691957873.

3787591968 is a `hidden beast` number, since 37 + 8 + 7 + 591 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3787591968² = 28691705832116226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3787591963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651153 + ... + 656943.

It is an arithmetic number, because the mean of its divisors is an integer number (115246320).

Almost surely, 2^3787591968 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 3787591968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531823360).

3787591968 is an abundant number, since it is smaller than the sum of its proper divisors (7276054752).

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

3787591968 is a wasteful number, since it uses less digits than its factorization.

3787591968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6567 (or 6553 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The square root of 3787591968 is about 61543.4153098445. The cubic root of 3787591968 is about 1558.7904233201.

The spelling of 3787591968 in words is "three billion, seven hundred eighty-seven million, five hundred ninety-one thousand, nine hundred sixty-eight".