34309800 has 216 divisors, whose sum is σ = 134380350. Its totient is φ = 7822080.

The previous prime is 34309799. The next prime is 34309811. The reversal of 34309800 is 890343.

It can be written as a sum of positive squares in 3 ways, for example, as 20958084 + 13351716 = 4578^2 + 3654^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88006 + ... + 88394.

Almost surely, 2^34309800 is an apocalyptic number.

34309800 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 34309800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67190175).

34309800 is an abundant number, since it is smaller than the sum of its proper divisors (100070550).

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

34309800 is a wasteful number, since it uses less digits than its factorization.

34309800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34309800 is about 5857.4567860122. The cubic root of 34309800 is about 324.9421593319.

The spelling of 34309800 in words is "thirty-four million, three hundred nine thousand, eight hundred".