34685700 has 144 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 7793280.

The previous prime is 34685681. The next prime is 34685719. The reversal of 34685700 is 758643.

It is an interprime number because it is at equal distance from previous prime (34685681) and next prime (34685719).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174201 + ... + 174399.

Almost surely, 2^34685700 is an apocalyptic number.

34685700 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 34685700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

34685700 is an abundant number, since it is smaller than the sum of its proper divisors (81973500).

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

34685700 is a wasteful number, since it uses less digits than its factorization.

34685700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 34685700 is about 5889.4566812228. The cubic root of 34685700 is about 326.1245462367.

The spelling of 34685700 in words is "thirty-four million, six hundred eighty-five thousand, seven hundred".