3795111936 has 468 divisors, whose sum is σ = 13984199424. Its totient is φ = 980582400.

The previous prime is 3795111919. The next prime is 3795111937. The reversal of 3795111936 is 6391115973.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3795111891 and 3795111900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795111937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19869601 + ... + 19869791.

It is an arithmetic number, because the mean of its divisors is an integer number (29880768).

Almost surely, 2^3795111936 is an apocalyptic number.

3795111936 is a gapful number since it is divisible by the number (36) 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 3795111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992099712).

3795111936 is an abundant number, since it is smaller than the sum of its proper divisors (10189087488).

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

3795111936 is a wasteful number, since it uses less digits than its factorization.

3795111936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 214 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 3795111936 is about 61604.4798371028. The cubic root of 3795111936 is about 1559.8213602149.

The spelling of 3795111936 in words is "three billion, seven hundred ninety-five million, one hundred eleven thousand, nine hundred thirty-six".