3185980980 has 288 divisors, whose sum is σ = 11540229120. Its totient is φ = 650280960.

The previous prime is 3185980957. The next prime is 3185980991. The reversal of 3185980980 is 890895813.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1183476 + ... + 1186164.

It is an arithmetic number, because the mean of its divisors is an integer number (40070240).

Almost surely, 2^3185980980 is an apocalyptic number.

3185980980 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 3185980980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770114560).

3185980980 is an abundant number, since it is smaller than the sum of its proper divisors (8354248140).

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

3185980980 is a wasteful number, since it uses less digits than its factorization.

3185980980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 3185980980 is about 56444.4946828298. The cubic root of 3185980980 is about 1471.4575113098.

The spelling of 3185980980 in words is "three billion, one hundred eighty-five million, nine hundred eighty thousand, nine hundred eighty".