3904008192 has 390 divisors, whose sum is σ = 13661474024. Its totient is φ = 1088225280.

The previous prime is 3904008187. The next prime is 3904008203. The reversal of 3904008192 is 2918004093.

3904008192 is a `hidden beast` number, since 3 + 90 + 400 + 81 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 95219692 + ... + 95219732.

Almost surely, 2^3904008192 is an apocalyptic number.

3904008192 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 3904008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6830737012).

3904008192 is an abundant number, since it is smaller than the sum of its proper divisors (9757465832).

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

3904008192 is an frugal number, since it uses more digits than its factorization.

3904008192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3904008192 is about 62482.0629621014. The cubic root of 3904008192 is about 1574.5999745989.

The spelling of 3904008192 in words is "three billion, nine hundred four million, eight thousand, one hundred ninety-two".