34311400 has 48 divisors (see below), whose sum is σ = 83253600. Its totient is φ = 13126080.

The previous prime is 34311371. The next prime is 34311401. The reversal of 34311400 is 411343.

It is not an unprimeable number, because it can be changed into a prime (34311401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 871 + ... + 8329.

It is an arithmetic number, because the mean of its divisors is an integer number (1734450).

Almost surely, 2^34311400 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 34311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41626800).

34311400 is an abundant number, since it is smaller than the sum of its proper divisors (48942200).

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

34311400 is a wasteful number, since it uses less digits than its factorization.

34311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 34311400 is about 5857.5933624655. The cubic root of 34311400 is about 324.9472103608.

Adding to 34311400 its reverse (411343), we get a palindrome (34722743).

The spelling of 34311400 in words is "thirty-four million, three hundred eleven thousand, four hundred".