34560049442688 has 1152 divisors, whose sum is σ = 132469548120000. Its totient is φ = 8436364738560.

The previous prime is 34560049442657. The next prime is 34560049442701. The reversal of 34560049442688 is 88624494006543.

It is a happy number.

34560049442688 is a `hidden beast` number, since 3 + 4 + 5 + 60 + 0 + 494 + 4 + 2 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17732194738 + ... + 17732196686.

Almost surely, 2^{34560049442688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34560049442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66234774060000).

34560049442688 is an abundant number, since it is smaller than the sum of its proper divisors (97909498677312).

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

34560049442688 is a wasteful number, since it uses less digits than its factorization.

34560049442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 34560049442688 in words is "thirty-four trillion, five hundred sixty billion, forty-nine million, four hundred forty-two thousand, six hundred eighty-eight".