3246982889472 has 1428 divisors, whose sum is σ = 12085464469080. Its totient is φ = 866843099136.

The previous prime is 3246982889471. The next prime is 3246982889533. The reversal of 3246982889472 is 2749882896423.

3246982889472 is a `hidden beast` number, since 3 + 2 + 46 + 98 + 28 + 8 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3246982889472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246982889471) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 44479217628 + ... + 44479217700.

Almost surely, 2^{3246982889472} is an apocalyptic number.

3246982889472 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 3246982889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042732234540).

3246982889472 is an abundant number, since it is smaller than the sum of its proper divisors (8838481579608).

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

3246982889472 is an frugal number, since it uses more digits than its factorization.

3246982889472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 104 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 3246982889472 in words is "three trillion, two hundred forty-six billion, nine hundred eighty-two million, eight hundred eighty-nine thousand, four hundred seventy-two".