33879040 has 88 divisors (see below), whose sum is σ = 87693480. Its totient is φ = 12484608.

The previous prime is 33879029. The next prime is 33879049. The reversal of 33879040 is 4097833.

It can be written as a sum of positive squares in 4 ways, for example, as 2876416 + 31002624 = 1696^2 + 5568^2 .

It is a super-2 number, since 2×33879040² = 2295578702643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33878987 and 33879005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33879049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66306 + ... + 66814.

Almost surely, 2^33879040 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 33879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43846740).

33879040 is an abundant number, since it is smaller than the sum of its proper divisors (53814440).

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

33879040 is a wasteful number, since it uses less digits than its factorization.

33879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 33879040 is about 5820.5704187820. The cubic root of 33879040 is about 323.5765437865.

The spelling of 33879040 in words is "thirty-three million, eight hundred seventy-nine thousand, forty".