33742120 has 16 divisors (see below), whose sum is σ = 75919860. Its totient is φ = 13496832.

The previous prime is 33742117. The next prime is 33742123. The reversal of 33742120 is 2124733.

33742120 = 249² + 250² + ... + 488².

It is an interprime number because it is at equal distance from previous prime (33742117) and next prime (33742123).

It can be written as a sum of positive squares in 2 ways, for example, as 33616804 + 125316 = 5798^2 + 354^2 .

It is a super-2 number, since 2×33742120² = 2277061324188800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33742091 and 33742100.

It is not an unprimeable number, because it can be changed into a prime (33742123) 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, 421737 + ... + 421816.

Almost surely, 2^33742120 is an apocalyptic number.

It is an amenable number.

33742120 is an abundant number, since it is smaller than the sum of its proper divisors (42177740).

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

33742120 is a wasteful number, since it uses less digits than its factorization.

33742120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843564 (or 843560 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 33742120 is about 5808.7967773025. The cubic root of 33742120 is about 323.1400505169.

Adding to 33742120 its reverse (2124733), we get a palindrome (35866853).

The spelling of 33742120 in words is "thirty-three million, seven hundred forty-two thousand, one hundred twenty".