33986144 has 48 divisors (see below), whose sum is σ = 70625520. Its totient is φ = 16074240.

The previous prime is 33986131. The next prime is 33986159. The reversal of 33986144 is 44168933.

It is a junction number, because it is equal to n+sod(n) for n = 33986098 and 33986107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48839 + ... + 49529.

It is an arithmetic number, because the mean of its divisors is an integer number (1471365).

Almost surely, 2^33986144 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 33986144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35312760).

33986144 is an abundant number, since it is smaller than the sum of its proper divisors (36639376).

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

33986144 is a wasteful number, since it uses less digits than its factorization.

33986144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 33986144 is about 5829.7636315720. The cubic root of 33986144 is about 323.9171662452.

It can be divided in two parts, 33986 and 144, that multiplied together give a palindrome (4893984).

The spelling of 33986144 in words is "thirty-three million, nine hundred eighty-six thousand, one hundred forty-four".