33834540 has 48 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 8998080.

The previous prime is 33834533. The next prime is 33834569. The reversal of 33834540 is 4543833.

It is a super-2 number, since 2×33834540² = 2289552194023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33834498 and 33834507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36685 + ... + 37595.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^33834540 is an apocalyptic number.

33834540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33834540 is an abundant number, since it is smaller than the sum of its proper divisors (61159380).

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

33834540 is a wasteful number, since it uses less digits than its factorization.

33834540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 33834540 is about 5816.7465133011. The cubic root of 33834540 is about 323.4348094948.

The spelling of 33834540 in words is "thirty-three million, eight hundred thirty-four thousand, five hundred forty".