34860800 has 108 divisors (see below), whose sum is σ = 93145080. Its totient is φ = 12840960.

The previous prime is 34860773. The next prime is 34860811. The reversal of 34860800 is 806843.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82991 + ... + 83409.

Almost surely, 2^34860800 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 34860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46572540).

34860800 is an abundant number, since it is smaller than the sum of its proper divisors (58284280).

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

34860800 is a wasteful number, since it uses less digits than its factorization.

34860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 34860800 is about 5904.3035152336. The cubic root of 34860800 is about 326.6724049156.

The spelling of 34860800 in words is "thirty-four million, eight hundred sixty thousand, eight hundred".