3383999280 has 240 divisors, whose sum is σ = 11875088160. Its totient is φ = 862728192.

The previous prime is 3383999257. The next prime is 3383999291. The reversal of 3383999280 is 829993833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3383999280² = 22902902254081036800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1570684 + ... + 1572836.

It is an arithmetic number, because the mean of its divisors is an integer number (49479534).

Almost surely, 2^3383999280 is an apocalyptic number.

3383999280 is a gapful number since it is divisible by the number (30) 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 3383999280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937544080).

3383999280 is an abundant number, since it is smaller than the sum of its proper divisors (8491088880).

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

3383999280 is a wasteful number, since it uses less digits than its factorization.

3383999280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2259 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3383999280 is about 58172.1521004681. The cubic root of 3383999280 is about 1501.3320434234.

The spelling of 3383999280 in words is "three billion, three hundred eighty-three million, nine hundred ninety-nine thousand, two hundred eighty".