34742843815680 has 3456 divisors, whose sum is σ = 176433644814336. Its totient is φ = 6068581171200.

The previous prime is 34742843815661. The next prime is 34742843815709. The reversal of 34742843815680 is 8651834824743.

34742843815680 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 28 + 43 + 8 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6077108182 + ... + 6077113898.

It is an arithmetic number, because the mean of its divisors is an integer number (51051401856).

Almost surely, 2^{34742843815680} is an apocalyptic number.

34742843815680 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 34742843815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216822407168).

34742843815680 is an abundant number, since it is smaller than the sum of its proper divisors (141690800998656).

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

34742843815680 is a wasteful number, since it uses less digits than its factorization.

34742843815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 34742843815680 in words is "thirty-four trillion, seven hundred forty-two billion, eight hundred forty-three million, eight hundred fifteen thousand, six hundred eighty".