34324010333312 has 128 divisors (see below), whose sum is σ = 82269523920000. Its totient is φ = 13934703476736.

The previous prime is 34324010333311. The next prime is 34324010333411. The reversal of 34324010333312 is 21333301042343.

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

It is a super-2 number, since 2×34324010333312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34324010333311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184396064 + ... + 184582112.

It is an arithmetic number, because the mean of its divisors is an integer number (642730655625).

Almost surely, 2^{34324010333312} is an apocalyptic number.

34324010333312 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 34324010333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41134761960000).

34324010333312 is an abundant number, since it is smaller than the sum of its proper divisors (47945513586688).

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

34324010333312 is a wasteful number, since it uses less digits than its factorization.

34324010333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196926 (or 196914 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 34324010333312 its reverse (21333301042343), we get a palindrome (55657311375655).

The spelling of 34324010333312 in words is "thirty-four trillion, three hundred twenty-four billion, ten million, three hundred thirty-three thousand, three hundred twelve".