3242834727440 has 480 divisors, whose sum is σ = 9870398218368. Its totient is φ = 979292160000.

The previous prime is 3242834727409. The next prime is 3242834727469. The reversal of 3242834727440 is 447274382423.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 176222240 + ... + 176240640.

Almost surely, 2^{3242834727440} 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 3242834727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935199109184).

3242834727440 is an abundant number, since it is smaller than the sum of its proper divisors (6627563490928).

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

3242834727440 is a wasteful number, since it uses less digits than its factorization.

3242834727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18554 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 50.

The spelling of 3242834727440 in words is "three trillion, two hundred forty-two billion, eight hundred thirty-four million, seven hundred twenty-seven thousand, four hundred forty".