3997560 has 64 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 913536.

The previous prime is 3997559. The next prime is 3997577. The reversal of 3997560 is 657993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (214200).

Almost surely, 2^3997560 is an apocalyptic number.

3997560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3997560 is an abundant number, since it is smaller than the sum of its proper divisors (9711240).

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

3997560 is a wasteful number, since it uses less digits than its factorization.

3997560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 3997560 is about 1999.3899069466. The cubic root of 3997560 is about 158.7078214769.

The spelling of 3997560 in words is "three million, nine hundred ninety-seven thousand, five hundred sixty".