34639303968 has 168 divisors, whose sum is σ = 102501028476. Its totient is φ = 11517811200.

The previous prime is 34639303903. The next prime is 34639303981. The reversal of 34639303968 is 86930393643.

34639303968 is a `hidden beast` number, since 3 + 463 + 93 + 0 + 3 + 96 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34546913424 + 92390544 = 185868^2 + 9612^2 .

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 27 ways as a sum of consecutive naturals, for example, 10752598 + ... + 10755818.

Almost surely, 2^34639303968 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 34639303968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51250514238).

34639303968 is an abundant number, since it is smaller than the sum of its proper divisors (67861724508).

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

34639303968 is an equidigital number, since it uses as much as digits as its factorization.

34639303968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 34639303968 in words is "thirty-four billion, six hundred thirty-nine million, three hundred three thousand, nine hundred sixty-eight".