34104155345000 has 320 divisors, whose sum is σ = 91313584362000. Its totient is φ = 11825694720000.

The previous prime is 34104155344943. The next prime is 34104155345011. The reversal of 34104155345000 is 54355140143.

It can be written as a sum of positive squares in 40 ways, for example, as 21982463594116 + 12121691750884 = 4688546^2 + 3481622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 509371526 + ... + 509438474.

Almost surely, 2^{34104155345000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34104155345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45656792181000).

34104155345000 is an abundant number, since it is smaller than the sum of its proper divisors (57209429017000).

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

34104155345000 is a wasteful number, since it uses less digits than its factorization.

34104155345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67466 (or 67447 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 34104155345000 in words is "thirty-four trillion, one hundred four billion, one hundred fifty-five million, three hundred forty-five thousand".