34314400 has 72 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 13474560.

The previous prime is 34314389. The next prime is 34314403. The reversal of 34314400 is 441343.

34314400 = 51³ + 52³ + ... + 109³.

It is not an unprimeable number, because it can be changed into a prime (34314403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46837 + ... + 47563.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^34314400 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 34314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

34314400 is an abundant number, since it is smaller than the sum of its proper divisors (50992640).

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

34314400 is a wasteful number, since it uses less digits than its factorization.

34314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34314400 is about 5857.8494347329. The cubic root of 34314400 is about 324.9566806167.

Adding to 34314400 its reverse (441343), we get a palindrome (34755743).

The spelling of 34314400 in words is "thirty-four million, three hundred fourteen thousand, four hundred".