3791778768 has 120 divisors (see below), whose sum is σ = 11211782400. Its totient is φ = 1194316032.

The previous prime is 3791778763. The next prime is 3791778773. The reversal of 3791778768 is 8678771973.

It is an interprime number because it is at equal distance from previous prime (3791778763) and next prime (3791778773).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791778763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186613 + ... + 205931.

It is an arithmetic number, because the mean of its divisors is an integer number (93431520).

Almost surely, 2^3791778768 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 3791778768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605891200).

3791778768 is an abundant number, since it is smaller than the sum of its proper divisors (7420003632).

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

3791778768 is a wasteful number, since it uses less digits than its factorization.

3791778768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409 (or 19400 counting only the distinct ones).

The product of its digits is 24893568, while the sum is 63.

The square root of 3791778768 is about 61577.4209268300. The cubic root of 3791778768 is about 1559.3645735574.

The spelling of 3791778768 in words is "three billion, seven hundred ninety-one million, seven hundred seventy-eight thousand, seven hundred sixty-eight".