33642144 has 72 divisors (see below), whose sum is σ = 96314400. Its totient is φ = 11138688.

The previous prime is 33642127. The next prime is 33642197. The reversal of 33642144 is 44124633.

33642144 is a `hidden beast` number, since 3 + 3 + 642 + 14 + 4 = 666.

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

It is a super-2 number, since 2×33642144² = 2263587705833472, 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57019 + ... + 57605.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 2^33642144 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 33642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

33642144 is an abundant number, since it is smaller than the sum of its proper divisors (62672256).

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

33642144 is a wasteful number, since it uses less digits than its factorization.

33642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 33642144 is about 5800.1848246414. The cubic root of 33642144 is about 322.8205862043.

Adding to 33642144 its reverse (44124633), we get a palindrome (77766777).

The spelling of 33642144 in words is "thirty-three million, six hundred forty-two thousand, one hundred forty-four".