34389600 has 288 divisors, whose sum is σ = 134991360. Its totient is φ = 7434240.

The previous prime is 34389599. The next prime is 34389653. The reversal of 34389600 is 698343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386356 + ... + 386444.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^34389600 is an apocalyptic number.

34389600 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 34389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

34389600 is an abundant number, since it is smaller than the sum of its proper divisors (100601760).

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

34389600 is a wasteful number, since it uses less digits than its factorization.

34389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 34389600 is about 5864.2646597847. The cubic root of 34389600 is about 325.1938882521.

The spelling of 34389600 in words is "thirty-four million, three hundred eighty-nine thousand, six hundred".