34134190000 has 100 divisors (see below), whose sum is σ = 83066585184. Its totient is φ = 13583584000.

The previous prime is 34134189997. The next prime is 34134190001. The reversal of 34134190000 is 9143143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×34134190000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34134190001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1961337 + ... + 1978663.

Almost surely, 2^34134190000 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 34134190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41533292592).

34134190000 is an abundant number, since it is smaller than the sum of its proper divisors (48932395184).

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

34134190000 is a wasteful number, since it uses less digits than its factorization.

34134190000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17552 (or 17531 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 34134190000 in words is "thirty-four billion, one hundred thirty-four million, one hundred ninety thousand".