3245642729472 has 576 divisors, whose sum is σ = 10493800611840. Its totient is φ = 885620736000.

The previous prime is 3245642729443. The next prime is 3245642729573. The reversal of 3245642729472 is 2749272465423.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396240897 + ... + 396249087.

It is an arithmetic number, because the mean of its divisors is an integer number (18218403840).

Almost surely, 2^{3245642729472} is an apocalyptic number.

3245642729472 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 3245642729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246900305920).

3245642729472 is an abundant number, since it is smaller than the sum of its proper divisors (7248157882368).

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

3245642729472 is a wasteful number, since it uses less digits than its factorization.

3245642729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8261 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 57.

The spelling of 3245642729472 in words is "three trillion, two hundred forty-five billion, six hundred forty-two million, seven hundred twenty-nine thousand, four hundred seventy-two".