3795193920 has 112 divisors (see below), whose sum is σ = 13771156608. Its totient is φ = 867471360.

The previous prime is 3795193907. The next prime is 3795193921. The reversal of 3795193920 is 293915973.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3795193920.

It is not an unprimeable number, because it can be changed into a prime (3795193921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275661 + ... + 289100.

Almost surely, 2^3795193920 is an apocalyptic number.

3795193920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3795193920 is an abundant number, since it is smaller than the sum of its proper divisors (9975962688).

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

3795193920 is a wasteful number, since it uses less digits than its factorization.

3795193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564788 (or 564778 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 3795193920 is about 61605.1452396632. The cubic root of 3795193920 is about 1559.8325921606.

The spelling of 3795193920 in words is "three billion, seven hundred ninety-five million, one hundred ninety-three thousand, nine hundred twenty".