34078400 has 126 divisors (see below), whose sum is σ = 89999820. Its totient is φ = 12695040.

The previous prime is 34078379. The next prime is 34078409. The reversal of 34078400 is 487043.

34078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34078400² = 2322674693120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34078400.

It is not an unprimeable number, because it can be changed into a prime (34078409) 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 17 ways as a sum of consecutive naturals, for example, 577571 + ... + 577629.

Almost surely, 2^34078400 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 34078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44999910).

34078400 is an abundant number, since it is smaller than the sum of its proper divisors (55921420).

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

34078400 is a wasteful number, since it uses less digits than its factorization.

34078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 34078400 is about 5837.6707683801. The cubic root of 34078400 is about 324.2099944362.

The spelling of 34078400 in words is "thirty-four million, seventy-eight thousand, four hundred".