3481086180 has 192 divisors, whose sum is σ = 11489764608. Its totient is φ = 776355840.

The previous prime is 3481086173. The next prime is 3481086223. The reversal of 3481086180 is 816801843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714672 + ... + 3715608.

It is an arithmetic number, because the mean of its divisors is an integer number (59842524).

Almost surely, 2^3481086180 is an apocalyptic number.

3481086180 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 3481086180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5744882304).

3481086180 is an abundant number, since it is smaller than the sum of its proper divisors (8008678428).

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

3481086180 is a wasteful number, since it uses less digits than its factorization.

3481086180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 3481086180 is about 59000.7303344628. The cubic root of 3481086180 is about 1515.5546161838.

The spelling of 3481086180 in words is "three billion, four hundred eighty-one million, eighty-six thousand, one hundred eighty".