3172387680 has 1080 divisors, whose sum is σ = 14940226224. Its totient is φ = 620421120.

The previous prime is 3172387639. The next prime is 3172387693. The reversal of 3172387680 is 867832713.

3172387680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 186611032 + ... + 186611048.

Almost surely, 2^3172387680 is an apocalyptic number.

3172387680 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 3172387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470113112).

3172387680 is an abundant number, since it is smaller than the sum of its proper divisors (11767838544).

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

3172387680 is a wasteful number, since it uses less digits than its factorization.

3172387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3172387680 is about 56323.9529862740. The cubic root of 3172387680 is about 1469.3618221103.

The spelling of 3172387680 in words is "three billion, one hundred seventy-two million, three hundred eighty-seven thousand, six hundred eighty".