3089680 has 40 divisors (see below), whose sum is σ = 7838784. Its totient is φ = 1123200.

The previous prime is 3089663. The next prime is 3089687. The reversal of 3089680 is 869803.

3089680 = T₇₄₄ + T₇₄₅ + ... + T₇₅₄.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3089680² = 19092245004800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3089687) 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, 876 + ... + 2635.

Almost surely, 2^3089680 is an apocalyptic number.

It is an amenable number.

3089680 is an abundant number, since it is smaller than the sum of its proper divisors (4749104).

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

3089680 is a wasteful number, since it uses less digits than its factorization.

3089680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3089680 is about 1757.7485599482. The cubic root of 3089680 is about 145.6479916666.

It can be divided in two parts, 30896 and 80, that added together give a square (30976 = 176²).

The spelling of 3089680 in words is "three million, eighty-nine thousand, six hundred eighty".