34085700 has 162 divisors, whose sum is σ = 117810602. Its totient is φ = 8236800.

The previous prime is 34085699. The next prime is 34085707. The reversal of 34085700 is 758043.

It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 33732864 = 594^2 + 5808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34085707) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 108744 + ... + 109056.

Almost surely, 2^34085700 is an apocalyptic number.

34085700 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 34085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58905301).

34085700 is an abundant number, since it is smaller than the sum of its proper divisors (83724902).

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

34085700 is a wasteful number, since it uses less digits than its factorization.

34085700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 34085700 is about 5838.2959842749. The cubic root of 34085700 is about 324.2331426668.

The spelling of 34085700 in words is "thirty-four million, eighty-five thousand, seven hundred".