34061047665840 has 320 divisors, whose sum is σ = 126619042529280. Its totient is φ = 8366146145280.

The previous prime is 34061047665823. The next prime is 34061047665871. The reversal of 34061047665840 is 4856674016043.

34061047665840 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 10 + 47 + 6 + 6 + 584 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11691105 + ... + 14310975.

It is an arithmetic number, because the mean of its divisors is an integer number (395684507904).

Almost surely, 2^{34061047665840} is an apocalyptic number.

34061047665840 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 34061047665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63309521264640).

34061047665840 is an abundant number, since it is smaller than the sum of its proper divisors (92557994863440).

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

34061047665840 is a wasteful number, since it uses less digits than its factorization.

34061047665840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620369 (or 2620357 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 34061047665840 in words is "thirty-four trillion, sixty-one billion, forty-seven million, six hundred sixty-five thousand, eight hundred forty".