33742008 has 96 divisors (see below), whose sum is σ = 100442160. Its totient is φ = 10575360.

The previous prime is 33741959. The next prime is 33742013. The reversal of 33742008 is 80024733.

It is a super-2 number, since 2×33742008² = 2277046207744128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32538 + ... + 33558.

Almost surely, 2^33742008 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 33742008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221080).

33742008 is an abundant number, since it is smaller than the sum of its proper divisors (66700152).

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

33742008 is a wasteful number, since it uses less digits than its factorization.

33742008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33742008 is about 5808.7871367438. The cubic root of 33742008 is about 323.1396929843.

The spelling of 33742008 in words is "thirty-three million, seven hundred forty-two thousand, eight".