34243895623680 has 456 divisors, whose sum is σ = 118912041300624. Its totient is φ = 9116319744000.

The previous prime is 34243895623633. The next prime is 34243895623741. The reversal of 34243895623680 is 8632659834243.

34243895623680 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 3 + 8 + 9 + 562 + 3 + 68 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8151365580 + ... + 8151369780.

Almost surely, 2^{34243895623680} is an apocalyptic number.

34243895623680 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 34243895623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59456020650312).

34243895623680 is an abundant number, since it is smaller than the sum of its proper divisors (84668145676944).

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

34243895623680 is an frugal number, since it uses more digits than its factorization.

34243895623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 63.

The spelling of 34243895623680 in words is "thirty-four trillion, two hundred forty-three billion, eight hundred ninety-five million, six hundred twenty-three thousand, six hundred eighty".