34516305152 has 72 divisors (see below), whose sum is σ = 79040793216. Its totient is φ = 14736254976.

The previous prime is 34516305143. The next prime is 34516305157. The reversal of 34516305152 is 25150361543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34516305157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434678 + ... + 507914.

Almost surely, 2^34516305152 is an apocalyptic number.

34516305152 is a gapful number since it is divisible by the number (32) 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 34516305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39520396608).

34516305152 is an abundant number, since it is smaller than the sum of its proper divisors (44524488064).

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

34516305152 is an equidigital number, since it uses as much as digits as its factorization.

34516305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73523 (or 73509 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 34516305152 its reverse (25150361543), we get a palindrome (59666666695).

The spelling of 34516305152 in words is "thirty-four billion, five hundred sixteen million, three hundred five thousand, one hundred fifty-two".