34033920 has 72 divisors (see below), whose sum is σ = 108708096. Its totient is φ = 9074688.

The previous prime is 34033903. The next prime is 34033927. The reversal of 34033920 is 2933043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34033927) 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 7 ways as a sum of consecutive naturals, for example, 592 + ... + 8271.

Almost surely, 2^34033920 is an apocalyptic number.

34033920 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 34033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54354048).

34033920 is an abundant number, since it is smaller than the sum of its proper divisors (74674176).

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

34033920 is an equidigital number, since it uses as much as digits as its factorization.

34033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8887 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 34033920 is about 5833.8597857679. The cubic root of 34033920 is about 324.0688772939.

Adding to 34033920 its reverse (2933043), we get a palindrome (36966963).

The spelling of 34033920 in words is "thirty-four million, thirty-three thousand, nine hundred twenty".