3836796768 has 384 divisors, whose sum is σ = 13610419200. Its totient is φ = 1027178496.

The previous prime is 3836796767. The next prime is 3836796779. The reversal of 3836796768 is 8676976383.

3836796768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3836796767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19879680 + ... + 19879872.

It is an arithmetic number, because the mean of its divisors is an integer number (35443800).

Almost surely, 2^3836796768 is an apocalyptic number.

3836796768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836796768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805209600).

3836796768 is an abundant number, since it is smaller than the sum of its proper divisors (9773622432).

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

3836796768 is a wasteful number, since it uses less digits than its factorization.

3836796768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 3836796768 is about 61941.8821799919. The cubic root of 3836796768 is about 1565.5115107093.

The spelling of 3836796768 in words is "three billion, eight hundred thirty-six million, seven hundred ninety-six thousand, seven hundred sixty-eight".