3472589568 has 144 divisors (see below), whose sum is σ = 11118705920. Its totient is φ = 939921408.

The previous prime is 3472589567. The next prime is 3472589579. The reversal of 3472589568 is 8659852743.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3472589567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85146 + ... + 119142.

Almost surely, 2^3472589568 is an apocalyptic number.

3472589568 is a gapful number since it is divisible by the number (38) 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 3472589568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559352960).

3472589568 is an abundant number, since it is smaller than the sum of its proper divisors (7646116352).

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

3472589568 is a wasteful number, since it uses less digits than its factorization.

3472589568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34042 (or 34028 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The square root of 3472589568 is about 58928.6820487273. The cubic root of 3472589568 is about 1514.3205597366.

The spelling of 3472589568 in words is "three billion, four hundred seventy-two million, five hundred eighty-nine thousand, five hundred sixty-eight".