34630215071000 has 128 divisors (see below), whose sum is σ = 81426196987200. Its totient is φ = 13785278515200.

The previous prime is 34630215070961. The next prime is 34630215071009. The reversal of 34630215071000 is 17051203643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34630215071009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243912032 + ... + 244053968.

Almost surely, 2^{34630215071000} 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 34630215071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40713098493600).

34630215071000 is an abundant number, since it is smaller than the sum of its proper divisors (46795981916200).

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

34630215071000 is a wasteful number, since it uses less digits than its factorization.

34630215071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143134 (or 143120 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

Adding to 34630215071000 its reverse (17051203643), we get a palindrome (34647266274643).

The spelling of 34630215071000 in words is "thirty-four trillion, six hundred thirty billion, two hundred fifteen million, seventy-one thousand".