34104434442300 has 108 divisors (see below), whose sum is σ = 106901565867096. Its totient is φ = 9094251196800.

The previous prime is 34104434442289. The next prime is 34104434442433. The reversal of 34104434442300 is 324443440143.

34104434442300 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 4 + 4 + 344 + 4 + 2 + 300 = 666.

It is a super-2 number, since 2×34104434442300² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31422690 + ... + 32489910.

Almost surely, 2^{34104434442300} is an apocalyptic number.

34104434442300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34104434442300 is an abundant number, since it is smaller than the sum of its proper divisors (72797131424796).

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

34104434442300 is a wasteful number, since it uses less digits than its factorization.

34104434442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102748 (or 1102738 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34104434442300 its reverse (324443440143), we get a palindrome (34428877882443).

The spelling of 34104434442300 in words is "thirty-four trillion, one hundred four billion, four hundred thirty-four million, four hundred forty-two thousand, three hundred".