3905040 has 80 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1018368.

The previous prime is 3905023. The next prime is 3905059. The reversal of 3905040 is 405093.

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

It is a junction number, because it is equal to n+sod(n) for n = 3904998 and 3905016.

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, 12567 + ... + 12873.

Almost surely, 2^3905040 is an apocalyptic number.

3905040 is a gapful number since it is divisible by the number (30) 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 3905040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

3905040 is an abundant number, since it is smaller than the sum of its proper divisors (8469168).

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

3905040 is a wasteful number, since it uses less digits than its factorization.

3905040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3905040 is about 1976.1174054190. The cubic root of 3905040 is about 157.4738681765.

The spelling of 3905040 in words is "three million, nine hundred five thousand, forty".