33769540 has 72 divisors (see below), whose sum is σ = 84079296. Its totient is φ = 11160000.

The previous prime is 33769513. The next prime is 33769553. The reversal of 33769540 is 4596733.

It is a super-2 number, since 2×33769540² = 2280763663623200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33769540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134415 + ... + 134665.

It is an arithmetic number, because the mean of its divisors is an integer number (1167768).

Almost surely, 2^33769540 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 33769540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42039648).

33769540 is an abundant number, since it is smaller than the sum of its proper divisors (50309756).

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

33769540 is a wasteful number, since it uses less digits than its factorization.

33769540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 33769540 is about 5811.1565114012. The cubic root of 33769540 is about 323.2275583672.

The spelling of 33769540 in words is "thirty-three million, seven hundred sixty-nine thousand, five hundred forty".