33742336 has 40 divisors (see below), whose sum is σ = 68622840. Its totient is φ = 16570368.

The previous prime is 33742273. The next prime is 33742337. The reversal of 33742336 is 63324733.

It is a super-2 number, since 2×33742336² = 2277090477473792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33742298 and 33742307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33742337) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29650 + ... + 30766.

It is an arithmetic number, because the mean of its divisors is an integer number (1715571).

Almost surely, 2^33742336 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 33742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34311420).

33742336 is an abundant number, since it is smaller than the sum of its proper divisors (34880504).

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

33742336 is an equidigital number, since it uses as much as digits as its factorization.

33742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1178 counting only the distinct ones).

The product of its digits is 27216, while the sum is 31.

The square root of 33742336 is about 5808.8153697634. The cubic root of 33742336 is about 323.1407400419.

The spelling of 33742336 in words is "thirty-three million, seven hundred forty-two thousand, three hundred thirty-six".