3485180160 has 432 divisors, whose sum is σ = 15037626240. Its totient is φ = 724008960.

The previous prime is 3485180147. The next prime is 3485180189. The reversal of 3485180160 is 610815843.

3485180160 is a `hidden beast` number, since 3 + 485 + 18 + 0 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 885076 + ... + 889004.

It is an arithmetic number, because the mean of its divisors is an integer number (34809320).

Almost surely, 2^3485180160 is an apocalyptic number.

3485180160 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 3485180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518813120).

3485180160 is an abundant number, since it is smaller than the sum of its proper divisors (11552446080).

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

3485180160 is a wasteful number, since it uses less digits than its factorization.

3485180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3485180160 is about 59035.4144560703. The cubic root of 3485180160 is about 1516.1485131458.

The spelling of 3485180160 in words is "three billion, four hundred eighty-five million, one hundred eighty thousand, one hundred sixty".