34150400 has 144 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 12615680.

The previous prime is 34150397. The next prime is 34150411. The reversal of 34150400 is 405143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177586 + ... + 1177614.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 2^34150400 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 34150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

34150400 is an abundant number, since it is smaller than the sum of its proper divisors (57250000).

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

34150400 is a wasteful number, since it uses less digits than its factorization.

34150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 34150400 is about 5843.8343576799. The cubic root of 34150400 is about 324.4381614402.

Adding to 34150400 its reverse (405143), we get a palindrome (34555543).

The spelling of 34150400 in words is "thirty-four million, one hundred fifty thousand, four hundred".