34959681364608 has 3072 divisors, whose sum is σ = 148247511552000. Its totient is φ = 7961389793280.

The previous prime is 34959681364603. The next prime is 34959681364639. The reversal of 34959681364608 is 80646318695943.

34959681364608 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 9 + 6 + 8 + 1 + 3 + 6 + 4 + 608 = 666.

It is a super-2 number, since 2×34959681364608² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34959681364603) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47052060685 + ... + 47052061427.

It is an arithmetic number, because the mean of its divisors is an integer number (48257653500).

Almost surely, 2^{34959681364608} 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 34959681364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74123755776000).

34959681364608 is an abundant number, since it is smaller than the sum of its proper divisors (113287830187392).

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

34959681364608 is a wasteful number, since it uses less digits than its factorization.

34959681364608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 34959681364608 in words is "thirty-four trillion, nine hundred fifty-nine billion, six hundred eighty-one million, three hundred sixty-four thousand, six hundred eight".