34080426564600 has 192 divisors, whose sum is σ = 113780517580800. Its totient is φ = 8388709240320.

The previous prime is 34080426564599. The next prime is 34080426564631. The reversal of 34080426564600 is 646562408043.

It is a super-2 number, since 2×34080426564600² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34080426564600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255640761 + ... + 255774039.

It is an arithmetic number, because the mean of its divisors is an integer number (592606862400).

Almost surely, 2^{34080426564600} is an apocalyptic number.

34080426564600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34080426564600 is an abundant number, since it is smaller than the sum of its proper divisors (79700091016200).

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

34080426564600 is a wasteful number, since it uses less digits than its factorization.

34080426564600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166094 (or 166085 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 34080426564600 in words is "thirty-four trillion, eighty billion, four hundred twenty-six million, five hundred sixty-four thousand, six hundred".