3470974653120 has 1792 divisors, whose sum is σ = 13599108956160. Its totient is φ = 741527322624.

The previous prime is 3470974653077. The next prime is 3470974653151. The reversal of 3470974653120 is 213564790743.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20784279277 + ... + 20784279443.

It is an arithmetic number, because the mean of its divisors is an integer number (7588788480).

Almost surely, 2^{3470974653120} is an apocalyptic number.

3470974653120 is a gapful number since it is divisible by the number (30) 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 3470974653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6799554478080).

3470974653120 is an abundant number, since it is smaller than the sum of its proper divisors (10128134303040).

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

3470974653120 is a wasteful number, since it uses less digits than its factorization.

3470974653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 3470974653120 in words is "three trillion, four hundred seventy billion, nine hundred seventy-four million, six hundred fifty-three thousand, one hundred twenty".