3472283342304 has 960 divisors, whose sum is σ = 12602963197440. Its totient is φ = 915303628800.

The previous prime is 3472283342273. The next prime is 3472283342431. The reversal of 3472283342304 is 4032433822743.

3472283342304 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 2 + 8 + 334 + 2 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3472283342304.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 8287072207 + ... + 8287072625.

It is an arithmetic number, because the mean of its divisors is an integer number (13128086664).

Almost surely, 2^{3472283342304} is an apocalyptic number.

3472283342304 is a gapful number since it is divisible by the number (34) 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 3472283342304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301481598720).

3472283342304 is an abundant number, since it is smaller than the sum of its proper divisors (9130679855136).

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

3472283342304 is a wasteful number, since it uses less digits than its factorization.

3472283342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 3472283342304 in words is "three trillion, four hundred seventy-two billion, two hundred eighty-three million, three hundred forty-two thousand, three hundred four".