3146320180900 has 144 divisors (see below), whose sum is σ = 7901421526656. Its totient is φ = 1077062215680.

The previous prime is 3146320180877. The next prime is 3146320180901. The reversal of 3146320180900 is 90810236413.

It is a self number, because there is not a number n which added to its sum of digits gives 3146320180900.

It is not an unprimeable number, because it can be changed into a prime (3146320180901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418257 + ... + 2543143.

It is an arithmetic number, because the mean of its divisors is an integer number (54870982824).

Almost surely, 2^{3146320180900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3146320180900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950710763328).

3146320180900 is an abundant number, since it is smaller than the sum of its proper divisors (4755101345756).

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

3146320180900 is a wasteful number, since it uses less digits than its factorization.

3146320180900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124998 (or 2124991 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 3146320180900 in words is "three trillion, one hundred forty-six billion, three hundred twenty million, one hundred eighty thousand, nine hundred".