3172973026080 has 2304 divisors, whose sum is σ = 13260157747200. Its totient is φ = 629107015680.

The previous prime is 3172973026063. The next prime is 3172973026109. The reversal of 3172973026080 is 806203792713.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30805563309 + ... + 30805563411.

It is an arithmetic number, because the mean of its divisors is an integer number (5755276800).

Almost surely, 2^{3172973026080} is an apocalyptic number.

3172973026080 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 3172973026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630078873600).

3172973026080 is an abundant number, since it is smaller than the sum of its proper divisors (10087184721120).

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

3172973026080 is a wasteful number, since it uses less digits than its factorization.

3172973026080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 3172973026080 in words is "three trillion, one hundred seventy-two billion, nine hundred seventy-three million, twenty-six thousand, eighty".