3229739004672 has 288 divisors, whose sum is σ = 9692266671360. Its totient is φ = 1060677918720.

The previous prime is 3229739004649. The next prime is 3229739004691. The reversal of 3229739004672 is 2764009379223.

3229739004672 is a `hidden beast` number, since 3 + 2 + 2 + 97 + 3 + 90 + 0 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550489483 + ... + 550495349.

It is an arithmetic number, because the mean of its divisors is an integer number (33653703720).

Almost surely, 2^{3229739004672} is an apocalyptic number.

3229739004672 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 3229739004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846133335680).

3229739004672 is an abundant number, since it is smaller than the sum of its proper divisors (6462527666688).

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

3229739004672 is a wasteful number, since it uses less digits than its factorization.

3229739004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7056 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 3229739004672 in words is "three trillion, two hundred twenty-nine billion, seven hundred thirty-nine million, four thousand, six hundred seventy-two".