33988896 has 168 divisors, whose sum is σ = 105767424. Its totient is φ = 10730880.

The previous prime is 33988859. The next prime is 33988901. The reversal of 33988896 is 69888933.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 723145 + ... + 723191.

It is an arithmetic number, because the mean of its divisors is an integer number (629568).

Almost surely, 2^33988896 is an apocalyptic number.

33988896 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 33988896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52883712).

33988896 is an abundant number, since it is smaller than the sum of its proper divisors (71778528).

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

33988896 is an equidigital number, since it uses as much as digits as its factorization.

33988896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 33988896 is about 5829.9996569468. Note that the first 3 decimals coincide. The cubic root of 33988896 is about 323.9259089844.

The spelling of 33988896 in words is "thirty-three million, nine hundred eighty-eight thousand, eight hundred ninety-six".