34114400 has 36 divisors (see below), whose sum is σ = 83283732. Its totient is φ = 13645440.

The previous prime is 34114397. The next prime is 34114403. The reversal of 34114400 is 441143.

It is an interprime number because it is at equal distance from previous prime (34114397) and next prime (34114403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34114403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20522 + ... + 22121.

It is an arithmetic number, because the mean of its divisors is an integer number (2313437).

Almost surely, 2^34114400 is an apocalyptic number.

It is an amenable number.

34114400 is an abundant number, since it is smaller than the sum of its proper divisors (49169332).

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

34114400 is a wasteful number, since it uses less digits than its factorization.

34114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42663 (or 42650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 34114400 is about 5840.7533760637. The cubic root of 34114400 is about 324.3241180679.

Adding to 34114400 its reverse (441143), we get a palindrome (34555543).

It can be divided in two parts, 341 and 14400, that added together give a palindrome (14741).

The spelling of 34114400 in words is "thirty-four million, one hundred fourteen thousand, four hundred".