34105330334200 has 48 divisors (see below), whose sum is σ = 79296180366960. Its totient is φ = 13641910656000.

The previous prime is 34105330334183. The next prime is 34105330334203. The reversal of 34105330334200 is 243303350143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105330334203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11253480 + ... + 13958920.

It is an arithmetic number, because the mean of its divisors is an integer number (1652003757645).

Almost surely, 2^{34105330334200} is an apocalyptic number.

It is an amenable number.

34105330334200 is an abundant number, since it is smaller than the sum of its proper divisors (45190850032760).

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

34105330334200 is a wasteful number, since it uses less digits than its factorization.

34105330334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768488 (or 2768479 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 31.

Adding to 34105330334200 its reverse (243303350143), we get a palindrome (34348633684343).

The spelling of 34105330334200 in words is "thirty-four trillion, one hundred five billion, three hundred thirty million, three hundred thirty-four thousand, two hundred".