3167973360 has 240 divisors, whose sum is σ = 11247375360. Its totient is φ = 796884480.

The previous prime is 3167973349. The next prime is 3167973377. The reversal of 3167973360 is 633797613.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5020245 + ... + 5020875.

It is an arithmetic number, because the mean of its divisors is an integer number (46864064).

Almost surely, 2^3167973360 is an apocalyptic number.

3167973360 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 3167973360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5623687680).

3167973360 is an abundant number, since it is smaller than the sum of its proper divisors (8079402000).

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

3167973360 is a wasteful number, since it uses less digits than its factorization.

3167973360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 3167973360 is about 56284.7524645885. The cubic root of 3167973360 is about 1468.6799756324.

The spelling of 3167973360 in words is "three billion, one hundred sixty-seven million, nine hundred seventy-three thousand, three hundred sixty".