34461400 has 24 divisors (see below), whose sum is σ = 80123220. Its totient is φ = 13784480.

The previous prime is 34461379. The next prime is 34461409. The reversal of 34461400 is 416443.

It is a happy number.

34461400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34461409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85954 + ... + 86353.

Almost surely, 2^34461400 is an apocalyptic number.

It is an amenable number.

34461400 is an abundant number, since it is smaller than the sum of its proper divisors (45661820).

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

34461400 is a wasteful number, since it uses less digits than its factorization.

34461400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172323 (or 172314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34461400 is about 5870.3832924265. The cubic root of 34461400 is about 325.4200485873.

Adding to 34461400 its reverse (416443), we get a palindrome (34877843).

The spelling of 34461400 in words is "thirty-four million, four hundred sixty-one thousand, four hundred".