3470672743272 has 256 divisors, whose sum is σ = 11622783744000. Its totient is φ = 937414964736.

The previous prime is 3470672743259. The next prime is 3470672743283. The reversal of 3470672743272 is 2723472760743.

3470672743272 is a `hidden beast` number, since 3 + 4 + 70 + 6 + 72 + 7 + 432 + 72 = 666.

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 63 ways as a sum of consecutive naturals, for example, 13286628 + ... + 13545324.

It is an arithmetic number, because the mean of its divisors is an integer number (45401499000).

Almost surely, 2^{3470672743272} 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 3470672743272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811391872000).

3470672743272 is an abundant number, since it is smaller than the sum of its proper divisors (8152111000728).

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

3470672743272 is a wasteful number, since it uses less digits than its factorization.

3470672743272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259205 (or 259195 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 54.

The spelling of 3470672743272 in words is "three trillion, four hundred seventy billion, six hundred seventy-two million, seven hundred forty-three thousand, two hundred seventy-two".