33414768 has 200 divisors, whose sum is σ = 108028800. Its totient is φ = 9922176.

The previous prime is 33414727. The next prime is 33414769. The reversal of 33414768 is 86741433.

It is a super-2 number, since 2×33414768² = 2233093440987648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33414769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566323 + ... + 566381.

It is an arithmetic number, because the mean of its divisors is an integer number (540144).

Almost surely, 2^33414768 is an apocalyptic number.

33414768 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 33414768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

33414768 is an abundant number, since it is smaller than the sum of its proper divisors (74614032).

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

33414768 is a wasteful number, since it uses less digits than its factorization.

33414768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 33414768 is about 5780.5508388042. The cubic root of 33414768 is about 322.0916627536.

The spelling of 33414768 in words is "thirty-three million, four hundred fourteen thousand, seven hundred sixty-eight".