33850020 has 96 divisors (see below), whose sum is σ = 104186880. Its totient is φ = 8173440.

The previous prime is 33849983. The next prime is 33850021. The reversal of 33850020 is 2005833.

It is a super-2 number, since 2×33850020² = 2291647708000800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33850021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25575 + ... + 26865.

It is an arithmetic number, because the mean of its divisors is an integer number (1085280).

Almost surely, 2^33850020 is an apocalyptic number.

33850020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33850020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093440).

33850020 is an abundant number, since it is smaller than the sum of its proper divisors (70336860).

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

33850020 is a wasteful number, since it uses less digits than its factorization.

33850020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 33850020 is about 5818.0770018968. The cubic root of 33850020 is about 323.4841280065.

Adding to 33850020 its reverse (2005833), we get a palindrome (35855853).

The spelling of 33850020 in words is "thirty-three million, eight hundred fifty thousand, twenty".