34051894539264 has 1056 divisors, whose sum is σ = 120934008832000. Its totient is φ = 9365001338880.

The previous prime is 34051894539251. The next prime is 34051894539281. The reversal of 34051894539264 is 46293549815043.

It is a happy number.

34051894539264 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 1 + 8 + 94 + 539 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10745310672 + ... + 10745313840.

Almost surely, 2^{34051894539264} 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 34051894539264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60467004416000).

34051894539264 is an abundant number, since it is smaller than the sum of its proper divisors (86882114292736).

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

34051894539264 is a wasteful number, since it uses less digits than its factorization.

34051894539264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 34051894539264 in words is "thirty-four trillion, fifty-one billion, eight hundred ninety-four million, five hundred thirty-nine thousand, two hundred sixty-four".