3433575872 has 112 divisors (see below), whose sum is σ = 7373721600. Its totient is φ = 1582586880.

The previous prime is 3433575857. The next prime is 3433575889. The reversal of 3433575872 is 2785753343.

Its product of digits (2116800) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4775129 + ... + 4775847.

It is an arithmetic number, because the mean of its divisors is an integer number (65836800).

Almost surely, 2^3433575872 is an apocalyptic number.

3433575872 is a gapful number since it is divisible by the number (32) 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 3433575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

3433575872 is an abundant number, since it is smaller than the sum of its proper divisors (3940145728).

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

3433575872 is a wasteful number, since it uses less digits than its factorization.

3433575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 47.

The square root of 3433575872 is about 58596.7223656750. The cubic root of 3433575872 is about 1508.6281814595.

The spelling of 3433575872 in words is "three billion, four hundred thirty-three million, five hundred seventy-five thousand, eight hundred seventy-two".