3242912993280 has 832 divisors, whose sum is σ = 12360730118400. Its totient is φ = 813716471808.

The previous prime is 3242912993279. The next prime is 3242912993387. The reversal of 3242912993280 is 823992192423.

3242912993280 is a `hidden beast` number, since 3 + 2 + 4 + 29 + 1 + 299 + 328 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761423791 + ... + 761428049.

Almost surely, 2^{3242912993280} is an apocalyptic number.

3242912993280 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 3242912993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180365059200).

3242912993280 is an abundant number, since it is smaller than the sum of its proper divisors (9117817125120).

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

3242912993280 is an frugal number, since it uses more digits than its factorization.

3242912993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3242912993280 in words is "three trillion, two hundred forty-two billion, nine hundred twelve million, nine hundred ninety-three thousand, two hundred eighty".