3795940992 has 192 divisors, whose sum is σ = 10772546400. Its totient is φ = 1184053248.

The previous prime is 3795940969. The next prime is 3795941003. The reversal of 3795940992 is 2990495973.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19268638 + ... + 19268834.

Almost surely, 2^3795940992 is an apocalyptic number.

3795940992 is a gapful number since it is divisible by the number (32) 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 3795940992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386273200).

3795940992 is an abundant number, since it is smaller than the sum of its proper divisors (6976605408).

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

3795940992 is a wasteful number, since it uses less digits than its factorization.

3795940992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 57.

The square root of 3795940992 is about 61611.2083309523. The cubic root of 3795940992 is about 1559.9349348274.

The spelling of 3795940992 in words is "three billion, seven hundred ninety-five million, nine hundred forty thousand, nine hundred ninety-two".