34340800 has 126 divisors (see below), whose sum is σ = 92220288. Its totient is φ = 12579840.

The previous prime is 34340749. The next prime is 34340827. The reversal of 34340800 is 804343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 270337 + ... + 270463.

Almost surely, 2^34340800 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 34340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46110144).

34340800 is an abundant number, since it is smaller than the sum of its proper divisors (57879488).

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

34340800 is a wasteful number, since it uses less digits than its factorization.

34340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34340800 is about 5860.1023881840. The cubic root of 34340800 is about 325.0399950779.

The spelling of 34340800 in words is "thirty-four million, three hundred forty thousand, eight hundred".