34148343808800 has 864 divisors, whose sum is σ = 141287707008000. Its totient is φ = 7911271710720.

The previous prime is 34148343808741. The next prime is 34148343808819. The reversal of 34148343808800 is 880834384143.

34148343808800 is a `hidden beast` number, since 3 + 4 + 1 + 483 + 4 + 3 + 80 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×34148343808800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80940801 + ... + 81361599.

Almost surely, 2^{34148343808800} is an apocalyptic number.

34148343808800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34148343808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70643853504000).

34148343808800 is an abundant number, since it is smaller than the sum of its proper divisors (107139363199200).

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

34148343808800 is a wasteful number, since it uses less digits than its factorization.

34148343808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420875 (or 420839 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 34148343808800 in words is "thirty-four trillion, one hundred forty-eight billion, three hundred forty-three million, eight hundred eight thousand, eight hundred".