3171434880 has 128 divisors (see below), whose sum is σ = 10176825600. Its totient is φ = 840038400.

The previous prime is 3171434873. The next prime is 3171434891. The reversal of 3171434880 is 884341713.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3171434880² = 20115998396161228800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284451 + ... + 295389.

It is an arithmetic number, because the mean of its divisors is an integer number (79506450).

Almost surely, 2^3171434880 is an apocalyptic number.

3171434880 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 3171434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088412800).

3171434880 is an abundant number, since it is smaller than the sum of its proper divisors (7005390720).

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

3171434880 is a wasteful number, since it uses less digits than its factorization.

3171434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3171434880 is about 56315.4941379369. The cubic root of 3171434880 is about 1469.2147038859.

The spelling of 3171434880 in words is "three billion, one hundred seventy-one million, four hundred thirty-four thousand, eight hundred eighty".