34143175000 has 144 divisors (see below), whose sum is σ = 87961401360. Its totient is φ = 12414600000.

The previous prime is 34143174977. The next prime is 34143175013. The reversal of 34143175000 is 57134143.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34143175000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3019357 + ... + 3030643.

It is an arithmetic number, because the mean of its divisors is an integer number (610843065).

Almost surely, 2^34143175000 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 34143175000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43980700680).

34143175000 is an abundant number, since it is smaller than the sum of its proper divisors (53818226360).

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

34143175000 is a wasteful number, since it uses less digits than its factorization.

34143175000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11340 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 34143175000 in words is "thirty-four billion, one hundred forty-three million, one hundred seventy-five thousand".