3383840000 has 90 divisors (see below), whose sum is σ = 8440774650. Its totient is φ = 1353472000.

The previous prime is 3383839951. The next prime is 3383840023. The reversal of 3383840000 is 483833.

It can be written as a sum of positive squares in 5 ways, for example, as 2102772736 + 1281067264 = 45856^2 + 35792^2 .

It is a super-4 number, since 4×3383840000⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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, 149426 + ... + 170574.

It is an arithmetic number, because the mean of its divisors is an integer number (93786385).

Almost surely, 2^3383840000 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 3383840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220387325).

3383840000 is an abundant number, since it is smaller than the sum of its proper divisors (5056934650).

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

3383840000 is an frugal number, since it uses more digits than its factorization.

3383840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21185 (or 21156 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3383840000 is about 58170.7830444116. The cubic root of 3383840000 is about 1501.3084878707.

The spelling of 3383840000 in words is "three billion, three hundred eighty-three million, eight hundred forty thousand".