3472273946304 has 560 divisors, whose sum is σ = 11073914571456. Its totient is φ = 1072963584000.

The previous prime is 3472273946261. The next prime is 3472273946369. The reversal of 3472273946304 is 4036493722743.

3472273946304 is a `hidden beast` number, since 3 + 47 + 227 + 39 + 46 + 304 = 666.

3472273946304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 79 ways as a sum of consecutive naturals, for example, 1239653704 + ... + 1239656504.

Almost surely, 2^{3472273946304} 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 3472273946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536957285728).

3472273946304 is an abundant number, since it is smaller than the sum of its proper divisors (7601640625152).

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

3472273946304 is a wasteful number, since it uses less digits than its factorization.

3472273946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 3472273946304 in words is "three trillion, four hundred seventy-two billion, two hundred seventy-three million, nine hundred forty-six thousand, three hundred four".