33489792 has 96 divisors (see below), whose sum is σ = 110164080. Its totient is φ = 9566208.

The previous prime is 33489791. The next prime is 33489829. The reversal of 33489792 is 29798433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33489792² = 2243132336406528, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33489791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5988 + ... + 10140.

Almost surely, 2^33489792 is an apocalyptic number.

33489792 is a gapful number since it is divisible by the number (32) 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 33489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55082040).

33489792 is an abundant number, since it is smaller than the sum of its proper divisors (76674288).

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

33489792 is a wasteful number, since it uses less digits than its factorization.

33489792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4165 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 33489792 is about 5787.0365473185. The cubic root of 33489792 is about 322.3325397052.

The spelling of 33489792 in words is "thirty-three million, four hundred eighty-nine thousand, seven hundred ninety-two".