33829540 has 24 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 13493088.

The previous prime is 33829531. The next prime is 33829553. The reversal of 33829540 is 4592833.

It is a happy number.

It is a super-2 number, since 2×33829540² = 2288875553223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33829496 and 33829505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5349 + ... + 9811.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^33829540 is an apocalyptic number.

It is an amenable number.

33829540 is an abundant number, since it is smaller than the sum of its proper divisors (37415900).

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

33829540 is a wasteful number, since it uses less digits than its factorization.

33829540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 33829540 is about 5816.3167038943. The cubic root of 33829540 is about 323.4188765289.

The spelling of 33829540 in words is "thirty-three million, eight hundred twenty-nine thousand, five hundred forty".