34337705514 has 64 divisors (see below), whose sum is σ = 81995950080. Its totient is φ = 9373066560.

The previous prime is 34337705477. The next prime is 34337705539. The reversal of 34337705514 is 41550773343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 809104 + ... + 850484.

It is an arithmetic number, because the mean of its divisors is an integer number (1281186720).

Almost surely, 2^34337705514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34337705514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40997975040).

34337705514 is an abundant number, since it is smaller than the sum of its proper divisors (47658244566).

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

34337705514 is a wasteful number, since it uses less digits than its factorization.

34337705514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42275.

The product of its (nonzero) digits is 529200, while the sum is 42.

The spelling of 34337705514 in words is "thirty-four billion, three hundred thirty-seven million, seven hundred five thousand, five hundred fourteen".