34502240214 has 96 divisors (see below), whose sum is σ = 87320286144. Its totient is φ = 9747855360.

The previous prime is 34502240107. The next prime is 34502240219. The reversal of 34502240214 is 41204220543.

34502240214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34502240219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57327 + ... + 268869.

It is an arithmetic number, because the mean of its divisors is an integer number (909586314).

Almost surely, 2^34502240214 is an apocalyptic number.

34502240214 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34502240214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43660143072).

34502240214 is an abundant number, since it is smaller than the sum of its proper divisors (52818045930).

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

34502240214 is a wasteful number, since it uses less digits than its factorization.

34502240214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211622 (or 211619 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34502240214 its reverse (41204220543), we get a palindrome (75706460757).

The spelling of 34502240214 in words is "thirty-four billion, five hundred two million, two hundred forty thousand, two hundred fourteen".