3486585180 has 192 divisors, whose sum is σ = 11077355520. Its totient is φ = 812934144.

The previous prime is 3486585149. The next prime is 3486585181. The reversal of 3486585180 is 815856843.

3486585180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486585181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1954569 + ... + 1956351.

It is an arithmetic number, because the mean of its divisors is an integer number (57694560).

Almost surely, 2^3486585180 is an apocalyptic number.

3486585180 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 3486585180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538677760).

3486585180 is an abundant number, since it is smaller than the sum of its proper divisors (7590770340).

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

3486585180 is a wasteful number, since it uses less digits than its factorization.

3486585180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 3486585180 is about 59047.3130633393. The cubic root of 3486585180 is about 1516.3522264586.

The spelling of 3486585180 in words is "three billion, four hundred eighty-six million, five hundred eighty-five thousand, one hundred eighty".