34394400 has 216 divisors, whose sum is σ = 128874564. Its totient is φ = 8601600.

The previous prime is 34394369. The next prime is 34394413. The reversal of 34394400 is 449343.

It can be written as a sum of positive squares in 6 ways, for example, as 20466576 + 13927824 = 4524^2 + 3732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122260 + ... + 122540.

Almost surely, 2^34394400 is an apocalyptic number.

34394400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64437282).

34394400 is an abundant number, since it is smaller than the sum of its proper divisors (94480164).

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

34394400 is a wasteful number, since it uses less digits than its factorization.

34394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34394400 is about 5864.6739039780. The cubic root of 34394400 is about 325.2090174195.

The spelling of 34394400 in words is "thirty-four million, three hundred ninety-four thousand, four hundred".