34001441300196 has 48 divisors (see below), whose sum is σ = 88163911442880. Its totient is φ = 11332267490880.

The previous prime is 34001441300143. The next prime is 34001441300209. The reversal of 34001441300196 is 69100314410043.

34001441300196 is a `hidden beast` number, since 3 + 40 + 0 + 14 + 413 + 0 + 0 + 196 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34001441300196.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20680641 + ... + 22264136.

It is an arithmetic number, because the mean of its divisors is an integer number (1836748155060).

Almost surely, 2^{34001441300196} is an apocalyptic number.

34001441300196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34001441300196 is an abundant number, since it is smaller than the sum of its proper divisors (54162470142684).

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

34001441300196 is a wasteful number, since it uses less digits than its factorization.

34001441300196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42952121 (or 42952113 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 34001441300196 in words is "thirty-four trillion, one billion, four hundred forty-one million, three hundred thousand, one hundred ninety-six".