33442464 has 72 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 10130560.

The previous prime is 33442441. The next prime is 33442471. The reversal of 33442464 is 46424433.

It is a super-2 number, since 2×33442464² = 2236796796782592, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10177 + ... + 13055.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^33442464 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 33442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

33442464 is an abundant number, since it is smaller than the sum of its proper divisors (63083616).

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

33442464 is a wasteful number, since it uses less digits than its factorization.

33442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2895 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 33442464 is about 5782.9459620508. The cubic root of 33442464 is about 322.1806272816.

Adding to 33442464 its reverse (46424433), we get a palindrome (79866897).

The spelling of 33442464 in words is "thirty-three million, four hundred forty-two thousand, four hundred sixty-four".