3768579696 has 160 divisors (see below), whose sum is σ = 11549260800. Its totient is φ = 1036062720.

The previous prime is 3768579679. The next prime is 3768579713. The reversal of 3768579696 is 6969758673.

It is an interprime number because it is at equal distance from previous prime (3768579679) and next prime (3768579713).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4277176 + ... + 4278056.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 2^3768579696 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 3768579696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774630400).

3768579696 is an abundant number, since it is smaller than the sum of its proper divisors (7780681104).

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

3768579696 is a wasteful number, since it uses less digits than its factorization.

3768579696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 66.

The square root of 3768579696 is about 61388.7587103698. The cubic root of 3768579696 is about 1556.1778686137.

The spelling of 3768579696 in words is "three billion, seven hundred sixty-eight million, five hundred seventy-nine thousand, six hundred ninety-six".