34636820 has 24 divisors (see below), whose sum is σ = 77016744. Its totient is φ = 13039616.

The previous prime is 34636787. The next prime is 34636831. The reversal of 34636820 is 2863643.

34636820 = 63² + 64² + ... + 470².

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 31382404 = 1804^2 + 5602^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50597 + ... + 51276.

It is an arithmetic number, because the mean of its divisors is an integer number (3209031).

Almost surely, 2^34636820 is an apocalyptic number.

It is an amenable number.

34636820 is an abundant number, since it is smaller than the sum of its proper divisors (42379924).

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

34636820 is a wasteful number, since it uses less digits than its factorization.

34636820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101899 (or 101897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 34636820 is about 5885.3054296273. The cubic root of 34636820 is about 325.9712797914.

The spelling of 34636820 in words is "thirty-four million, six hundred thirty-six thousand, eight hundred twenty".