34001315440 has 80 divisors (see below), whose sum is σ = 80586226080. Its totient is φ = 13338547200.

The previous prime is 34001315399. The next prime is 34001315459. The reversal of 34001315440 is 4451310043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213590 + ... + 1241290.

It is an arithmetic number, because the mean of its divisors is an integer number (1007327826).

Almost surely, 2^34001315440 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 34001315440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40293113040).

34001315440 is an abundant number, since it is smaller than the sum of its proper divisors (46584910640).

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

34001315440 is a wasteful number, since it uses less digits than its factorization.

34001315440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28010 (or 28004 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 34001315440 its reverse (4451310043), we get a palindrome (38452625483).

The spelling of 34001315440 in words is "thirty-four billion, one million, three hundred fifteen thousand, four hundred forty".