34234800 has 120 divisors (see below), whose sum is σ = 112183296. Its totient is φ = 8920320.

The previous prime is 34234799. The next prime is 34234801. The reversal of 34234800 is 843243.

It is an interprime number because it is at equal distance from previous prime (34234799) and next prime (34234801).

It is a tau number, because it is divible by the number of its divisors (120).

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 (34234801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56097 + ... + 56703.

Almost surely, 2^34234800 is an apocalyptic number.

34234800 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 34234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56091648).

34234800 is an abundant number, since it is smaller than the sum of its proper divisors (77948496).

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

34234800 is a wasteful number, since it uses less digits than its factorization.

34234800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34234800 is about 5851.0511876072. The cubic root of 34234800 is about 324.7052159382.

The spelling of 34234800 in words is "thirty-four million, two hundred thirty-four thousand, eight hundred".