3470057125080 has 256 divisors, whose sum is σ = 12858784404480. Its totient is φ = 729500166144.

The previous prime is 3470057125033. The next prime is 3470057125123. The reversal of 3470057125080 is 805217500743.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 2451247 + ... + 3598433.

It is an arithmetic number, because the mean of its divisors is an integer number (50229626580).

Almost surely, 2^{3470057125080} is an apocalyptic number.

3470057125080 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 3470057125080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429392202240).

3470057125080 is an abundant number, since it is smaller than the sum of its proper divisors (9388727279400).

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

3470057125080 is a wasteful number, since it uses less digits than its factorization.

3470057125080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147498 (or 1147494 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 3470057125080 in words is "three trillion, four hundred seventy billion, fifty-seven million, one hundred twenty-five thousand, eighty".