3247249734144 has 640 divisors, whose sum is σ = 10791042662400. Its totient is φ = 957366190080.

The previous prime is 3247249734109. The next prime is 3247249734161. The reversal of 3247249734144 is 4414379427423.

3247249734144 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 2 + 497 + 3 + 4 + 144 = 666.

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

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, 573817587 + ... + 573823245.

It is an arithmetic number, because the mean of its divisors is an integer number (16861004160).

Almost surely, 2^{3247249734144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3247249734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395521331200).

3247249734144 is an abundant number, since it is smaller than the sum of its proper divisors (7543792928256).

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

3247249734144 is a wasteful number, since it uses less digits than its factorization.

3247249734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5811 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 3247249734144 in words is "three trillion, two hundred forty-seven billion, two hundred forty-nine million, seven hundred thirty-four thousand, one hundred forty-four".