34708900 has 54 divisors (see below), whose sum is σ = 80076038. Its totient is φ = 13056000.

The previous prime is 34708879. The next prime is 34708907. The reversal of 34708900 is 980743.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 11437924 + 23270976 = 3382^2 + 4824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34708907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28300 + ... + 29500.

Almost surely, 2^34708900 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 34708900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40038019).

34708900 is an abundant number, since it is smaller than the sum of its proper divisors (45367138).

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

34708900 is a wasteful number, since it uses less digits than its factorization.

34708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 34708900 is about 5891.4259733956. The cubic root of 34708900 is about 326.1972409707.

The spelling of 34708900 in words is "thirty-four million, seven hundred eight thousand, nine hundred".