3109680 has 120 divisors (see below), whose sum is σ = 11954592. Its totient is φ = 709632.

The previous prime is 3109651. The next prime is 3109681. The reversal of 3109680 is 869013.

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

It is not an unprimeable number, because it can be changed into a prime (3109681) 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, 4732 + ... + 5348.

Almost surely, 2^3109680 is an apocalyptic number.

3109680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3109680 is the 1440-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977296).

3109680 is an abundant number, since it is smaller than the sum of its proper divisors (8844912).

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

3109680 is a wasteful number, since it uses less digits than its factorization.

3109680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3109680 is about 1763.4284788445. The cubic root of 3109680 is about 145.9615836875.

The spelling of 3109680 in words is "three million, one hundred nine thousand, six hundred eighty".