34464300 has 72 divisors (see below), whose sum is σ = 107399376. Its totient is φ = 8482560.

The previous prime is 34464299. The next prime is 34464317. The reversal of 34464300 is 346443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519 + ... + 8318.

It is an arithmetic number, because the mean of its divisors is an integer number (1491658).

Almost surely, 2^34464300 is an apocalyptic number.

34464300 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 34464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53699688).

34464300 is an abundant number, since it is smaller than the sum of its proper divisors (72935076).

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

34464300 is a wasteful number, since it uses less digits than its factorization.

34464300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34464300 is about 5870.6302898411. The cubic root of 34464300 is about 325.4291765940.

It can be divided in two parts, 3 and 4464300, that multiplied together give a triangular number (13392900 = T₅₁₇₅).

The spelling of 34464300 in words is "thirty-four million, four hundred sixty-four thousand, three hundred".