3432838872 has 64 divisors (see below), whose sum is σ = 8965474560. Its totient is φ = 1093276800.

The previous prime is 3432838861. The next prime is 3432838879. The reversal of 3432838872 is 2788382343.

It is a super-2 number, since 2×3432838872² = 23568765442228464768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432838879) 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, 560547 + ... + 566637.

It is an arithmetic number, because the mean of its divisors is an integer number (140085540).

Almost surely, 2^3432838872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432838872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482737280).

3432838872 is an abundant number, since it is smaller than the sum of its proper divisors (5532635688).

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

3432838872 is a wasteful number, since it uses less digits than its factorization.

3432838872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7140 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 3432838872 is about 58590.4332805280. The cubic root of 3432838872 is about 1508.5202338880.

The spelling of 3432838872 in words is "three billion, four hundred thirty-two million, eight hundred thirty-eight thousand, eight hundred seventy-two".