3281469972480 has 2688 divisors, whose sum is σ = 15074415083520. Its totient is φ = 642105999360.

The previous prime is 3281469972437. The next prime is 3281469972533. The reversal of 3281469972480 is 842799641823.

3281469972480 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 4 + 69 + 97 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25838346177 + ... + 25838346303.

Almost surely, 2^{3281469972480} is an apocalyptic number.

3281469972480 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 3281469972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537207541760).

3281469972480 is an abundant number, since it is smaller than the sum of its proper divisors (11792945111040).

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

3281469972480 is a wasteful number, since it uses less digits than its factorization.

3281469972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3281469972480 in words is "three trillion, two hundred eighty-one billion, four hundred sixty-nine million, nine hundred seventy-two thousand, four hundred eighty".