3904460640 has 72 divisors (see below), whose sum is σ = 13323976848. Its totient is φ = 1041189120.

The previous prime is 3904460639. The next prime is 3904460647. The reversal of 3904460640 is 460644093.

3904460640 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 4 + 6 + 0 + 640 = 666.

3904460640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 3904460595 and 3904460604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904460647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354276 + ... + 1357155.

It is an arithmetic number, because the mean of its divisors is an integer number (185055234).

Almost surely, 2^3904460640 is an apocalyptic number.

3904460640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3904460640 is an abundant number, since it is smaller than the sum of its proper divisors (9419516208).

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

3904460640 is a wasteful number, since it uses less digits than its factorization.

3904460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711452 (or 2711441 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3904460640 is about 62485.6834802981. The cubic root of 3904460640 is about 1574.6608007255.

The spelling of 3904460640 in words is "three billion, nine hundred four million, four hundred sixty thousand, six hundred forty".