33498864 has 120 divisors (see below), whose sum is σ = 108326400. Its totient is φ = 9465984.

The previous prime is 33498863. The next prime is 33498869. The reversal of 33498864 is 46889433.

It is a super-2 number, since 2×33498864² = 2244347778580992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33498863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168237 + ... + 168435.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2^33498864 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 33498864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163200).

33498864 is an abundant number, since it is smaller than the sum of its proper divisors (74827536).

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

33498864 is a wasteful number, since it uses less digits than its factorization.

33498864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 33498864 is about 5787.8203151100. The cubic root of 33498864 is about 322.3616424718.

The spelling of 33498864 in words is "thirty-three million, four hundred ninety-eight thousand, eight hundred sixty-four".