3470085360 has 400 divisors, whose sum is σ = 13916270016. Its totient is φ = 784982016.

The previous prime is 3470085329. The next prime is 3470085361. The reversal of 3470085360 is 635800743.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3470085361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5125342 + ... + 5126018.

Almost surely, 2^3470085360 is an apocalyptic number.

3470085360 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 3470085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958135008).

3470085360 is an abundant number, since it is smaller than the sum of its proper divisors (10446184656).

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

3470085360 is a wasteful number, since it uses less digits than its factorization.

3470085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3470085360 is about 58907.4304311434. The cubic root of 3470085360 is about 1513.9564620405.

The spelling of 3470085360 in words is "three billion, four hundred seventy million, eighty-five thousand, three hundred sixty".