3180828672 has 288 divisors, whose sum is σ = 10655517600. Its totient is φ = 895352832.

The previous prime is 3180828649. The next prime is 3180828701. The reversal of 3180828672 is 2768280813.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) 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 23 ways as a sum of consecutive naturals, for example, 11482998 + ... + 11483274.

It is an arithmetic number, because the mean of its divisors is an integer number (36998325).

Almost surely, 2^3180828672 is an apocalyptic number.

3180828672 is a gapful number since it is divisible by the number (32) 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 3180828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327758800).

3180828672 is an abundant number, since it is smaller than the sum of its proper divisors (7474688928).

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

3180828672 is a wasteful number, since it uses less digits than its factorization.

3180828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3180828672 is about 56398.8357326638. The cubic root of 3180828672 is about 1470.6638789493.

The spelling of 3180828672 in words is "three billion, one hundred eighty million, eight hundred twenty-eight thousand, six hundred seventy-two".