3904477992 has 160 divisors (see below), whose sum is σ = 11635747200. Its totient is φ = 1218986496.

The previous prime is 3904477961. The next prime is 3904478033. The reversal of 3904477992 is 2997744093.

It is a happy number.

3904477992 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2632083 + ... + 2633565.

It is an arithmetic number, because the mean of its divisors is an integer number (72723420).

Almost surely, 2^3904477992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3904477992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817873600).

3904477992 is an abundant number, since it is smaller than the sum of its proper divisors (7731269208).

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

3904477992 is a wasteful number, since it uses less digits than its factorization.

3904477992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 3904477992 is about 62485.8223279489. The cubic root of 3904477992 is about 1574.6631333971.

The spelling of 3904477992 in words is "three billion, nine hundred four million, four hundred seventy-seven thousand, nine hundred ninety-two".