34264056019680 has 576 divisors, whose sum is σ = 128482820706240. Its totient is φ = 8593351409664.

The previous prime is 34264056019667. The next prime is 34264056019681. The reversal of 34264056019680 is 8691065046243.

34264056019680 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 4 + 0 + 560 + 19 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34264056019681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 944493702 + ... + 944529978.

It is an arithmetic number, because the mean of its divisors is an integer number (223060452615).

Almost surely, 2^{34264056019680} is an apocalyptic number.

34264056019680 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 34264056019680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64241410353120).

34264056019680 is an abundant number, since it is smaller than the sum of its proper divisors (94218764686560).

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

34264056019680 is a wasteful number, since it uses less digits than its factorization.

34264056019680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37753 (or 37733 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34264056019680 in words is "thirty-four trillion, two hundred sixty-four billion, fifty-six million, nineteen thousand, six hundred eighty".