3136980 has 144 divisors (see below), whose sum is σ = 11261376. Its totient is φ = 645120.

The previous prime is 3136961. The next prime is 3137003. The reversal of 3136980 is 896313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32292 + ... + 32388.

It is an arithmetic number, because the mean of its divisors is an integer number (78204).

Almost surely, 2^3136980 is an apocalyptic number.

3136980 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 3136980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630688).

3136980 is an abundant number, since it is smaller than the sum of its proper divisors (8124396).

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

3136980 is a wasteful number, since it uses less digits than its factorization.

3136980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 3136980 is about 1771.1521673758. The cubic root of 3136980 is about 146.3874739201.

The spelling of 3136980 in words is "three million, one hundred thirty-six thousand, nine hundred eighty".