3990560 has 72 divisors (see below), whose sum is σ = 10988460. Its totient is φ = 1365504.

The previous prime is 3990541. The next prime is 3990593. The reversal of 3990560 is 650993.

3990560 = T₂₃₉ + T₂₄₀ + ... + T₃₃₄.

It can be written as a sum of positive squares in 2 ways, for example, as 3952144 + 38416 = 1988^2 + 196^2 .

It is a super-2 number, since 2×3990560² = 31849138227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7586 + ... + 8094.

Almost surely, 2^3990560 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 3990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494230).

3990560 is an abundant number, since it is smaller than the sum of its proper divisors (6997900).

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

3990560 is a wasteful number, since it uses less digits than its factorization.

3990560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 3990560 is about 1997.6386059545. The cubic root of 3990560 is about 158.6151312830.

The spelling of 3990560 in words is "three million, nine hundred ninety thousand, five hundred sixty".