3274675072704 has 448 divisors, whose sum is σ = 11700753433600. Its totient is φ = 877234323456.

The previous prime is 3274675072703. The next prime is 3274675072717. The reversal of 3274675072704 is 4072705764723.

3274675072704 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 67 + 507 + 2 + 70 + 4 = 666.

3274675072704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (3274675072703) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22219482 + ... + 22366374.

It is an arithmetic number, because the mean of its divisors is an integer number (26117753200).

Almost surely, 2^{3274675072704} 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 3274675072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850376716800).

3274675072704 is an abundant number, since it is smaller than the sum of its proper divisors (8426078360896).

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

3274675072704 is a wasteful number, since it uses less digits than its factorization.

3274675072704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147037 (or 147021 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 54.

The spelling of 3274675072704 in words is "three trillion, two hundred seventy-four billion, six hundred seventy-five million, seventy-two thousand, seven hundred four".