34042260601008 has 320 divisors, whose sum is σ = 107971103692800. Its totient is φ = 10182916823040.

The previous prime is 34042260600961. The next prime is 34042260601093. The reversal of 34042260601008 is 80010606224043.

34042260601008 is a `hidden beast` number, since 3 + 4 + 0 + 42 + 2 + 6 + 0 + 601 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2326396060 + ... + 2326410692.

It is an arithmetic number, because the mean of its divisors is an integer number (337409699040).

Almost surely, 2^{34042260601008} 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 34042260601008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53985551846400).

34042260601008 is an abundant number, since it is smaller than the sum of its proper divisors (73928843091792).

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

34042260601008 is a wasteful number, since it uses less digits than its factorization.

34042260601008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20925 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34042260601008 in words is "thirty-four trillion, forty-two billion, two hundred sixty million, six hundred one thousand, eight".