33889416 has 64 divisors (see below), whose sum is σ = 93199680. Its totient is φ = 10183680.

The previous prime is 33889409. The next prime is 33889433. The reversal of 33889416 is 61498833.

It is a happy number.

It is a super-2 number, since 2×33889416² = 2296985033642112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35700 + ... + 36636.

It is an arithmetic number, because the mean of its divisors is an integer number (1456245).

Almost surely, 2^33889416 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 33889416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46599840).

33889416 is an abundant number, since it is smaller than the sum of its proper divisors (59310264).

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

33889416 is a wasteful number, since it uses less digits than its factorization.

33889416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1090 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 33889416 is about 5821.4616721232. The cubic root of 33889416 is about 323.6095739188.

The spelling of 33889416 in words is "thirty-three million, eight hundred eighty-nine thousand, four hundred sixteen".