3248742580992 has 144 divisors (see below), whose sum is σ = 9608674020960. Its totient is φ = 1082737152000.

The previous prime is 3248742580883. The next prime is 3248742581003. The reversal of 3248742580992 is 2990852478423.

3248742580992 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 7 + 42 + 580 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46282242 + ... + 46352382.

Almost surely, 2^{3248742580992} is an apocalyptic number.

3248742580992 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 3248742580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804337010480).

3248742580992 is an abundant number, since it is smaller than the sum of its proper divisors (6359931439968).

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

3248742580992 is an equidigital number, since it uses as much as digits as its factorization.

3248742580992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76867 (or 76847 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3248742580992 in words is "three trillion, two hundred forty-eight billion, seven hundred forty-two million, five hundred eighty thousand, nine hundred ninety-two".