33385888 has 48 divisors (see below), whose sum is σ = 70852320. Its totient is φ = 15434496.

The previous prime is 33385883. The next prime is 33385889. The reversal of 33385888 is 88858333.

It is a super-2 number, since 2×33385888² = 2229235035097088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33385883) 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, 25506 + ... + 26782.

It is an arithmetic number, because the mean of its divisors is an integer number (1476090).

Almost surely, 2^33385888 is an apocalyptic number.

33385888 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33385888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35426160).

33385888 is an abundant number, since it is smaller than the sum of its proper divisors (37466432).

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

33385888 is a wasteful number, since it uses less digits than its factorization.

33385888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The square root of 33385888 is about 5778.0522669841. The cubic root of 33385888 is about 321.9988426331.

The spelling of 33385888 in words is "thirty-three million, three hundred eighty-five thousand, eight hundred eighty-eight".