3906560 has 88 divisors (see below), whose sum is σ = 10808160. Its totient is φ = 1327104.

The previous prime is 3906559. The next prime is 3906563. The reversal of 3906560 is 656093.

It is a super-2 number, since 2×3906560² = 30522422067200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35786 + ... + 35894.

It is an arithmetic number, because the mean of its divisors is an integer number (122820).

Almost surely, 2^3906560 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 3906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404080).

3906560 is an abundant number, since it is smaller than the sum of its proper divisors (6901600).

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

3906560 is a wasteful number, since it uses less digits than its factorization.

3906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 3906560 is about 1976.5019605353. The cubic root of 3906560 is about 157.4942972656.

The spelling of 3906560 in words is "three million, nine hundred six thousand, five hundred sixty".