33398496 has 72 divisors (see below), whose sum is σ = 96117840. Its totient is φ = 10999296.

The previous prime is 33398483. The next prime is 33398509. The reversal of 33398496 is 69489333.

It is an interprime number because it is at equal distance from previous prime (33398483) and next prime (33398509).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33398496² = 2230919070124032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24981 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (1334970).

Almost surely, 2^33398496 is an apocalyptic number.

33398496 is a gapful number since it is divisible by the number (36) 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 33398496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48058920).

33398496 is an abundant number, since it is smaller than the sum of its proper divisors (62719344).

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

33398496 is a wasteful number, since it uses less digits than its factorization.

33398496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1397 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 33398496 is about 5779.1431890895. The cubic root of 33398496 is about 322.0393712387.

The spelling of 33398496 in words is "thirty-three million, three hundred ninety-eight thousand, four hundred ninety-six".