33349368 has 64 divisors (see below), whose sum is σ = 90871200. Its totient is φ = 10137600.

The previous prime is 33349357. The next prime is 33349369. The reversal of 33349368 is 86394333.

It is a super-2 number, since 2×33349368² = 2224360691998848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33349369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27168 + ... + 28368.

Almost surely, 2^33349368 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 33349368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45435600).

33349368 is an abundant number, since it is smaller than the sum of its proper divisors (57521832).

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

33349368 is a wasteful number, since it uses less digits than its factorization.

33349368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 33349368 is about 5774.8911678057. The cubic root of 33349368 is about 321.8813909310.

The spelling of 33349368 in words is "thirty-three million, three hundred forty-nine thousand, three hundred sixty-eight".