34005014240 has 96 divisors (see below), whose sum is σ = 83981753856. Its totient is φ = 12987025920.

The previous prime is 34005014129. The next prime is 34005014339. The reversal of 34005014240 is 4241050043.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 2093189 + ... + 2109371.

It is an arithmetic number, because the mean of its divisors is an integer number (874809936).

Almost surely, 2^34005014240 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 34005014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41990876928).

34005014240 is an abundant number, since it is smaller than the sum of its proper divisors (49976739616).

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

34005014240 is a wasteful number, since it uses less digits than its factorization.

34005014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16792 (or 16784 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 34005014240 its reverse (4241050043), we get a palindrome (38246064283).

The spelling of 34005014240 in words is "thirty-four billion, five million, fourteen thousand, two hundred forty".