34000714440 has 1024 divisors, whose sum is σ = 148414464000. Its totient is φ = 6774451200.

The previous prime is 34000714393. The next prime is 34000714457. The reversal of 34000714440 is 4441700043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 311933106 + ... + 311933214.

It is an arithmetic number, because the mean of its divisors is an integer number (144936000).

Almost surely, 2^34000714440 is an apocalyptic number.

34000714440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34000714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74207232000).

34000714440 is an abundant number, since it is smaller than the sum of its proper divisors (114413749560).

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

34000714440 is a wasteful number, since it uses less digits than its factorization.

34000714440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 34000714440 in words is "thirty-four billion, seven hundred fourteen thousand, four hundred forty".