3949560 has 160 divisors (see below), whose sum is σ = 14113440. Its totient is φ = 988416.

The previous prime is 3949541. The next prime is 3949579. The reversal of 3949560 is 659493.

3949560 is a `hidden beast` number, since 3 + 94 + 9 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3949541) and next prime (3949579).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74494 + ... + 74546.

It is an arithmetic number, because the mean of its divisors is an integer number (88209).

Almost surely, 2^3949560 is an apocalyptic number.

3949560 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 3949560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056720).

3949560 is an abundant number, since it is smaller than the sum of its proper divisors (10163880).

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

3949560 is a wasteful number, since it uses less digits than its factorization.

3949560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3949560 is about 1987.3499943392. The cubic root of 3949560 is about 158.0700431847.

Subtracting from 3949560 its product of nonzero digits (29160), we obtain a square (3920400 = 1980²).

The spelling of 3949560 in words is "three million, nine hundred forty-nine thousand, five hundred sixty".