34055300 has 36 divisors (see below), whose sum is σ = 74328576. Its totient is φ = 13543200.

The previous prime is 34055299. The next prime is 34055317. The reversal of 34055300 is 355043.

34055300 = T₁₆ + T₁₇ + ... + T₅₈₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18209 + ... + 19991.

Almost surely, 2^34055300 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 34055300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37164288).

34055300 is an abundant number, since it is smaller than the sum of its proper divisors (40273276).

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

34055300 is a wasteful number, since it uses less digits than its factorization.

34055300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 34055300 is about 5835.6919041361. The cubic root of 34055300 is about 324.1367227675.

The spelling of 34055300 in words is "thirty-four million, fifty-five thousand, three hundred".