34069853664 has 576 divisors, whose sum is σ = 127207584000. Its totient is φ = 8772019200.

The previous prime is 34069853659. The next prime is 34069853683. The reversal of 34069853664 is 46635896043.

34069853664 is a `hidden beast` number, since 3 + 40 + 6 + 9 + 8 + 536 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34069853664.

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, 69388459 + ... + 69388949.

It is an arithmetic number, because the mean of its divisors is an integer number (220846500).

Almost surely, 2^34069853664 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 34069853664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63603792000).

34069853664 is an abundant number, since it is smaller than the sum of its proper divisors (93137730336).

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

34069853664 is a wasteful number, since it uses less digits than its factorization.

34069853664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 34069853664 in words is "thirty-four billion, sixty-nine million, eight hundred fifty-three thousand, six hundred sixty-four".