33420744 has 72 divisors (see below), whose sum is σ = 105303510. Its totient is φ = 9547776.

The previous prime is 33420733. The next prime is 33420763. The reversal of 33420744 is 44702433.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 13972644 = 4410^2 + 3738^2 .

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

It is a super-2 number, since 2×33420744² = 2233892259027072, which contains 22 as substring.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1209 + ... + 8264.

Almost surely, 2^33420744 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 33420744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651755).

33420744 is an abundant number, since it is smaller than the sum of its proper divisors (71882766).

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

33420744 is a wasteful number, since it uses less digits than its factorization.

33420744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 33420744 is about 5781.0677214508. The cubic root of 33420744 is about 322.1108628973.

The spelling of 33420744 in words is "thirty-three million, four hundred twenty thousand, seven hundred forty-four".