34325152005312 has 336 divisors, whose sum is σ = 119021398329600. Its totient is φ = 9239109765120.

The previous prime is 34325152005307. The next prime is 34325152005329. The reversal of 34325152005312 is 21350025152343.

34325152005312 is a `hidden beast` number, since 3 + 4 + 32 + 51 + 520 + 0 + 53 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12461262 + ... + 14964402.

Almost surely, 2^{34325152005312} is an apocalyptic number.

34325152005312 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 34325152005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59510699164800).

34325152005312 is an abundant number, since it is smaller than the sum of its proper divisors (84696246324288).

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

34325152005312 is a wasteful number, since it uses less digits than its factorization.

34325152005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503364 (or 2503351 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 34325152005312 its reverse (21350025152343), we get a palindrome (55675177157655).

The spelling of 34325152005312 in words is "thirty-four trillion, three hundred twenty-five billion, one hundred fifty-two million, five thousand, three hundred twelve".