34027630900 has 144 divisors (see below), whose sum is σ = 77208947200. Its totient is φ = 13005826560.

The previous prime is 34027630877. The next prime is 34027630951. The reversal of 34027630900 is 903672043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56058397 + ... + 56059003.

Almost surely, 2^34027630900 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 34027630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38604473600).

34027630900 is an abundant number, since it is smaller than the sum of its proper divisors (43181316300).

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

34027630900 is a wasteful number, since it uses less digits than its factorization.

34027630900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 34027630900 in words is "thirty-four billion, twenty-seven million, six hundred thirty thousand, nine hundred".