34279447112064 has 768 divisors, whose sum is σ = 130327299648000. Its totient is φ = 8387024486400.

The previous prime is 34279447112041. The next prime is 34279447112077. The reversal of 34279447112064 is 46021174497243.

34279447112064 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 94 + 471 + 1 + 20 + 64 = 666.

It is a super-4 number, since 4×34279447112064⁴ (a number of 55 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34279447112064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105306547 + ... + 105631565.

It is an arithmetic number, because the mean of its divisors is an integer number (169697004750).

Almost surely, 2^{34279447112064} 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 34279447112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65163649824000).

34279447112064 is an abundant number, since it is smaller than the sum of its proper divisors (96047852535936).

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

34279447112064 is a wasteful number, since it uses less digits than its factorization.

34279447112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325127 (or 325112 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 34279447112064 in words is "thirty-four trillion, two hundred seventy-nine billion, four hundred forty-seven million, one hundred twelve thousand, sixty-four".