33874640 has 40 divisors (see below), whose sum is σ = 79542528. Its totient is φ = 13415040.

The previous prime is 33874601. The next prime is 33874649. The reversal of 33874640 is 4647833.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33874640² = 2294982470259200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33874640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33874649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6185 + ... + 10295.

Almost surely, 2^33874640 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 33874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39771264).

33874640 is an abundant number, since it is smaller than the sum of its proper divisors (45667888).

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

33874640 is a wasteful number, since it uses less digits than its factorization.

33874640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 33874640 is about 5820.1924366811. The cubic root of 33874640 is about 323.5625351405.

The spelling of 33874640 in words is "thirty-three million, eight hundred seventy-four thousand, six hundred forty".