34051214616 has 256 divisors, whose sum is σ = 93939056640. Its totient is φ = 10255365120.

The previous prime is 34051214597. The next prime is 34051214641. The reversal of 34051214616 is 61641215043.

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 63 ways as a sum of consecutive naturals, for example, 146142436 + ... + 146142668.

It is an arithmetic number, because the mean of its divisors is an integer number (366949440).

Almost surely, 2^34051214616 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 34051214616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46969528320).

34051214616 is an abundant number, since it is smaller than the sum of its proper divisors (59887842024).

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

34051214616 is a wasteful number, since it uses less digits than its factorization.

34051214616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 34051214616 its reverse (61641215043), we get a palindrome (95692429659).

The spelling of 34051214616 in words is "thirty-four billion, fifty-one million, two hundred fourteen thousand, six hundred sixteen".