3145680 has 120 divisors (see below), whose sum is σ = 11229192. Its totient is φ = 786432.

The previous prime is 3145679. The next prime is 3145711. The reversal of 3145680 is 865413.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 1527696 = 1272^2 + 1236^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12112 + ... + 12368.

Almost surely, 2^3145680 is an apocalyptic number.

3145680 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 3145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614596).

3145680 is an abundant number, since it is smaller than the sum of its proper divisors (8083512).

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

3145680 is a wasteful number, since it uses less digits than its factorization.

3145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3145680 is about 1773.6064952520. The cubic root of 3145680 is about 146.5226777864.

The spelling of 3145680 in words is "three million, one hundred forty-five thousand, six hundred eighty".