3470074565760 has 768 divisors, whose sum is σ = 13884107253120. Its totient is φ = 789272985600.

The previous prime is 3470074565729. The next prime is 3470074565857. The reversal of 3470074565760 is 675654700743.

It is a happy number.

3470074565760 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 0 + 7 + 4 + 565 + 76 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3470074565697 and 3470074565706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 356521854 + ... + 356531586.

Almost surely, 2^{3470074565760} is an apocalyptic number.

3470074565760 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 3470074565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942053626560).

3470074565760 is an abundant number, since it is smaller than the sum of its proper divisors (10414032687360).

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

3470074565760 is a wasteful number, since it uses less digits than its factorization.

3470074565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10117 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 3470074565760 in words is "three trillion, four hundred seventy billion, seventy-four million, five hundred sixty-five thousand, seven hundred sixty".