34615105152 has 128 divisors (see below), whose sum is σ = 98588793600. Its totient is φ = 10722017280.

The previous prime is 34615105111. The next prime is 34615105159. The reversal of 34615105152 is 25150151643.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (34615105159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482152 + ... + 549272.

It is an arithmetic number, because the mean of its divisors is an integer number (770224950).

Almost surely, 2^34615105152 is an apocalyptic number.

34615105152 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 34615105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49294396800).

34615105152 is an abundant number, since it is smaller than the sum of its proper divisors (63973688448).

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

34615105152 is a wasteful number, since it uses less digits than its factorization.

34615105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67234 (or 67222 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

Adding to 34615105152 its reverse (25150151643), we get a palindrome (59765256795).

The spelling of 34615105152 in words is "thirty-four billion, six hundred fifteen million, one hundred five thousand, one hundred fifty-two".