33742332 has 60 divisors (see below), whose sum is σ = 95006296. Its totient is φ = 10380960.

The previous prime is 33742273. The next prime is 33742337. The reversal of 33742332 is 23324733.

It is a happy number.

It is a super-2 number, since 2×33742332² = 2277089937596448, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33742296 and 33742305.

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 19 ways as a sum of consecutive naturals, for example, 207 + ... + 8217.

Almost surely, 2^33742332 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 33742332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47503148).

33742332 is an abundant number, since it is smaller than the sum of its proper divisors (61263964).

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

33742332 is a wasteful number, since it uses less digits than its factorization.

33742332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8040 (or 8029 counting only the distinct ones).

The product of its digits is 9072, while the sum is 27.

The square root of 33742332 is about 5808.8150254592. The cubic root of 33742332 is about 323.1407272729.

The spelling of 33742332 in words is "thirty-three million, seven hundred forty-two thousand, three hundred thirty-two".