34140052000 has 96 divisors (see below), whose sum is σ = 86588296704. Its totient is φ = 13215456000.

The previous prime is 34140051949. The next prime is 34140052019. The reversal of 34140052000 is 25004143.

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, 13662 + ... + 261661.

It is an arithmetic number, because the mean of its divisors is an integer number (901961424).

Almost surely, 2^34140052000 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 34140052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43294148352).

34140052000 is an abundant number, since it is smaller than the sum of its proper divisors (52448244704).

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

34140052000 is a wasteful number, since it uses less digits than its factorization.

34140052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275379 (or 275361 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 34140052000 its reverse (25004143), we get a palindrome (34165056143).

The spelling of 34140052000 in words is "thirty-four billion, one hundred forty million, fifty-two thousand".