3905920 has 64 divisors (see below), whose sum is σ = 9914400. Its totient is φ = 1466368.

The previous prime is 3905911. The next prime is 3905933. The reversal of 3905920 is 295093.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3905920² = 30512422092800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10701 + ... + 11059.

Almost surely, 2^3905920 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 3905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957200).

3905920 is an abundant number, since it is smaller than the sum of its proper divisors (6008480).

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

3905920 is a wasteful number, since it uses less digits than its factorization.

3905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 3905920 is about 1976.3400517117. The cubic root of 3905920 is about 157.4856961899.

The spelling of 3905920 in words is "three million, nine hundred five thousand, nine hundred twenty".