3904880 has 80 divisors (see below), whose sum is σ = 10951680. Its totient is φ = 1264896.

The previous prime is 3904877. The next prime is 3904897. The reversal of 3904880 is 884093.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10457 + ... + 10823.

It is an arithmetic number, because the mean of its divisors is an integer number (136896).

Almost surely, 2^3904880 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 3904880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475840).

3904880 is an abundant number, since it is smaller than the sum of its proper divisors (7046800).

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

3904880 is a wasteful number, since it uses less digits than its factorization.

3904880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 3904880 is about 1976.0769215797. The cubic root of 3904880 is about 157.4717174377.

The spelling of 3904880 in words is "three million, nine hundred four thousand, eight hundred eighty".