2838336 has 28 divisors (see below), whose sum is σ = 7510272. Its totient is φ = 946048.

The previous prime is 2838293. The next prime is 2838359. The reversal of 2838336 is 6338382.

It is a super-3 number, since 3×2838336³ = 68598192333559431168, which contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2838297 and 2838306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7200 + ... + 7583.

It is an arithmetic number, because the mean of its divisors is an integer number (268224).

2^2838336 is an apocalyptic number.

It is an amenable number.

2838336 is an abundant number, since it is smaller than the sum of its proper divisors (4671936).

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

2838336 is a wasteful number, since it uses less digits than its factorization.

2838336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14798 (or 14788 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 2838336 is about 1684.7361811275. The cubic root of 2838336 is about 141.5863116775.

The spelling of 2838336 in words is "two million, eight hundred thirty-eight thousand, three hundred thirty-six".