2838672 has 40 divisors (see below), whose sum is σ = 8149280. Its totient is φ = 946080.

The previous prime is 2838631. The next prime is 2838697. The reversal of 2838672 is 2768382.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2854 + ... + 3717.

It is an arithmetic number, because the mean of its divisors is an integer number (203732).

2^2838672 is an apocalyptic number.

It is an amenable number.

2838672 is an abundant number, since it is smaller than the sum of its proper divisors (5310608).

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

2838672 is a wasteful number, since it uses less digits than its factorization.

2838672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6588 (or 6576 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2838672 is about 1684.8358970535. The cubic root of 2838672 is about 141.5918984161.

The spelling of 2838672 in words is "two million, eight hundred thirty-eight thousand, six hundred seventy-two".