34308755349120 has 4096 divisors, whose sum is σ = 159933284352000. Its totient is φ = 6768867409920.

The previous prime is 34308755349083. The next prime is 34308755349173. The reversal of 34308755349120 is 2194355780343.

34308755349120 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 87 + 5 + 53 + 491 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 123858322422 + ... + 123858322698.

It is an arithmetic number, because the mean of its divisors is an integer number (39046212000).

Almost surely, 2^{34308755349120} is an apocalyptic number.

34308755349120 is a gapful number since it is divisible by the number (30) 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 34308755349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79966642176000).

34308755349120 is an abundant number, since it is smaller than the sum of its proper divisors (125624529002880).

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

34308755349120 is a wasteful number, since it uses less digits than its factorization.

34308755349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 34308755349120 in words is "thirty-four trillion, three hundred eight billion, seven hundred fifty-five million, three hundred forty-nine thousand, one hundred twenty".