34087820 has 48 divisors (see below), whose sum is σ = 78909600. Its totient is φ = 12289536.

The previous prime is 34087819. The next prime is 34087871. The reversal of 34087820 is 2878043.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9656 + ... + 12704.

It is an arithmetic number, because the mean of its divisors is an integer number (1643950).

Almost surely, 2^34087820 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 34087820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39454800).

34087820 is an abundant number, since it is smaller than the sum of its proper divisors (44821780).

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

34087820 is a wasteful number, since it uses less digits than its factorization.

34087820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 34087820 is about 5838.4775412773. The cubic root of 34087820 is about 324.2398645474.

The spelling of 34087820 in words is "thirty-four million, eighty-seven thousand, eight hundred twenty".