34365404253312 has 192 divisors, whose sum is σ = 107897251176000. Its totient is φ = 10412096808960.

The previous prime is 34365404253287. The next prime is 34365404253463. The reversal of 34365404253312 is 21335240456343.

34365404253312 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 540 + 42 + 53 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 80368014 + ... + 80794482.

It is an arithmetic number, because the mean of its divisors is an integer number (561964849875).

Almost surely, 2^{34365404253312} is an apocalyptic number.

34365404253312 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 34365404253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53948625588000).

34365404253312 is an abundant number, since it is smaller than the sum of its proper divisors (73531846922688).

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

34365404253312 is a wasteful number, since it uses less digits than its factorization.

34365404253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432859 (or 432844 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 34365404253312 in words is "thirty-four trillion, three hundred sixty-five billion, four hundred four million, two hundred fifty-three thousand, three hundred twelve".