3181980672 has 330 divisors, whose sum is σ = 10334492388. Its totient is φ = 974757888.

The previous prime is 3181980671. The next prime is 3181980689. The reversal of 3181980672 is 2760891813.

It is not an unprimeable number, because it can be changed into a prime (3181980671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14017423 + ... + 14017649.

Almost surely, 2^3181980672 is an apocalyptic number.

3181980672 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 3181980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167246194).

3181980672 is an abundant number, since it is smaller than the sum of its proper divisors (7152511716).

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

3181980672 is a wasteful number, since it uses less digits than its factorization.

3181980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 3181980672 is about 56409.0477849077. The cubic root of 3181980672 is about 1470.8414008547.

The spelling of 3181980672 in words is "three billion, one hundred eighty-one million, nine hundred eighty thousand, six hundred seventy-two".