34233920 has 224 divisors, whose sum is σ = 105338880. Its totient is φ = 10321920.

The previous prime is 34233911. The next prime is 34233923. The reversal of 34233920 is 2933243.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×34233920² = 2343922557132800, 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 34233920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104305 + ... + 1104335.

Almost surely, 2^34233920 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 34233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

34233920 is an abundant number, since it is smaller than the sum of its proper divisors (71104960).

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

34233920 is a wasteful number, since it uses less digits than its factorization.

34233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 34233920 is about 5850.9759869615. The cubic root of 34233920 is about 324.7024337493.

It can be divided in two parts, 34233 and 920, that added together give a palindrome (35153).

The spelling of 34233920 in words is "thirty-four million, two hundred thirty-three thousand, nine hundred twenty".