34668309795840 has 880 divisors, whose sum is σ = 142074975212544. Its totient is φ = 7918829568000.

The previous prime is 34668309795839. The next prime is 34668309795883. The reversal of 34668309795840 is 4859790386643.

34668309795840 is a `hidden beast` number, since 3 + 4 + 6 + 6 + 8 + 30 + 9 + 7 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5663827980 + ... + 5663834100.

Almost surely, 2^{34668309795840} is an apocalyptic number.

34668309795840 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 34668309795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71037487606272).

34668309795840 is an abundant number, since it is smaller than the sum of its proper divisors (107406665416704).

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

34668309795840 is a wasteful number, since it uses less digits than its factorization.

34668309795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8116 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 34668309795840 in words is "thirty-four trillion, six hundred sixty-eight billion, three hundred nine million, seven hundred ninety-five thousand, eight hundred forty".