34164300 has 72 divisors (see below), whose sum is σ = 100993536. Its totient is φ = 8912960.

The previous prime is 34164289. The next prime is 34164301. The reversal of 34164300 is 346143.

It is not an unprimeable number, because it can be changed into a prime (34164301) 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, 12889 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (1402688).

Almost surely, 2^34164300 is an apocalyptic number.

34164300 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 34164300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50496768).

34164300 is an abundant number, since it is smaller than the sum of its proper divisors (66829236).

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

34164300 is a wasteful number, since it uses less digits than its factorization.

34164300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34164300 is about 5845.0235243325. The cubic root of 34164300 is about 324.4821734062.

The spelling of 34164300 in words is "thirty-four million, one hundred sixty-four thousand, three hundred".