3180602661120 has 864 divisors, whose sum is σ = 11667361305600. Its totient is φ = 829354401792.

The previous prime is 3180602661113. The next prime is 3180602661143. The reversal of 3180602661120 is 211662060813.

It is a happy number.

3180602661120 is a `hidden beast` number, since 3 + 18 + 0 + 6 + 0 + 2 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 4826407351 + ... + 4826408009.

It is an arithmetic number, because the mean of its divisors is an integer number (13503890400).

Almost surely, 2^{3180602661120} is an apocalyptic number.

3180602661120 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 3180602661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833680652800).

3180602661120 is an abundant number, since it is smaller than the sum of its proper divisors (8486758644480).

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

3180602661120 is an equidigital number, since it uses as much as digits as its factorization.

3180602661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3180602661120 in words is "three trillion, one hundred eighty billion, six hundred two million, six hundred sixty-one thousand, one hundred twenty".