3164311983360 has 288 divisors, whose sum is σ = 11259326840832. Its totient is φ = 750784061440.

The previous prime is 3164311983353. The next prime is 3164311983361. The reversal of 3164311983360 is 633891134613.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164311983361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188337 + ... + 2782223.

It is an arithmetic number, because the mean of its divisors is an integer number (39094884864).

Almost surely, 2^{3164311983360} is an apocalyptic number.

3164311983360 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 3164311983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629663420416).

3164311983360 is an abundant number, since it is smaller than the sum of its proper divisors (8095014857472).

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

3164311983360 is a wasteful number, since it uses less digits than its factorization.

3164311983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593969 (or 1593955 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 3164311983360 in words is "three trillion, one hundred sixty-four billion, three hundred eleven million, nine hundred eighty-three thousand, three hundred sixty".