34013014000 has 320 divisors, whose sum is σ = 98050867200. Its totient is φ = 11166336000.

The previous prime is 34013013997. The next prime is 34013014039. The reversal of 34013014000 is 41031043.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47305641 + ... + 47306359.

It is an arithmetic number, because the mean of its divisors is an integer number (306408960).

Almost surely, 2^34013014000 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 34013014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49025433600).

34013014000 is an abundant number, since it is smaller than the sum of its proper divisors (64037853200).

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

34013014000 is a wasteful number, since it uses less digits than its factorization.

34013014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34013014000 its reverse (41031043), we get a palindrome (34054045043).

The spelling of 34013014000 in words is "thirty-four billion, thirteen million, fourteen thousand".