3940560 has 120 divisors (see below), whose sum is σ = 14285544. Its totient is φ = 967680.

The previous prime is 3940553. The next prime is 3940561. The reversal of 3940560 is 650493.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 3732624 = 456^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3940560² = 31056026227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9150 + ... + 9570.

Almost surely, 2^3940560 is an apocalyptic number.

3940560 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 3940560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142772).

3940560 is an abundant number, since it is smaller than the sum of its proper divisors (10344984).

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

3940560 is a wasteful number, since it uses less digits than its factorization.

3940560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3940560 is about 1985.0843810780. The cubic root of 3940560 is about 157.9498852973.

The spelling of 3940560 in words is "three million, nine hundred forty thousand, five hundred sixty".