3389874496 has 56 divisors (see below), whose sum is σ = 6971888520. Its totient is φ = 1633400832.

The previous prime is 3389874487. The next prime is 3389874497. The reversal of 3389874496 is 6944789833.

It can be written as a sum of positive squares in 4 ways, for example, as 486820096 + 2903054400 = 22064^2 + 53880^2 .

It is a super-2 number, since 2×3389874496² = 22982498197262508032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389874497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210570 + ... + 1213366.

Almost surely, 2^3389874496 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 3389874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485944260).

3389874496 is an abundant number, since it is smaller than the sum of its proper divisors (3582014024).

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

3389874496 is a wasteful number, since it uses less digits than its factorization.

3389874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The square root of 3389874496 is about 58222.6287280126. The cubic root of 3389874496 is about 1502.2003996197.

The spelling of 3389874496 in words is "three billion, three hundred eighty-nine million, eight hundred seventy-four thousand, four hundred ninety-six".