3482320896 has 210 divisors, whose sum is σ = 10657721382. Its totient is φ = 1132462080.

The previous prime is 3482320879. The next prime is 3482320909. The reversal of 3482320896 is 6980232843.

It can be written as a sum of positive squares in only one way, i.e., 2123366400 + 1358954496 = 46080^2 + 36864^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84934636 + ... + 84934676.

Almost surely, 2^3482320896 is an apocalyptic number.

3482320896 is a gapful number since it is divisible by the number (36) 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 3482320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328860691).

3482320896 is an abundant number, since it is smaller than the sum of its proper divisors (7175400486).

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

3482320896 is an frugal number, since it uses more digits than its factorization.

3482320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3482320896 is about 59011.1929721811. The cubic root of 3482320896 is about 1515.7337804099.

The spelling of 3482320896 in words is "three billion, four hundred eighty-two million, three hundred twenty thousand, eight hundred ninety-six".