34652675555680 has 576 divisors, whose sum is σ = 104411054160000. Its totient is φ = 10770578767872.

The previous prime is 34652675555639. The next prime is 34652675555759. The reversal of 34652675555680 is 8655557625643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1351548301 + ... + 1351573939.

It is an arithmetic number, because the mean of its divisors is an integer number (181269191250).

Almost surely, 2^{34652675555680} 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 34652675555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52205527080000).

34652675555680 is an abundant number, since it is smaller than the sum of its proper divisors (69758378604320).

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

34652675555680 is a wasteful number, since it uses less digits than its factorization.

34652675555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25919 (or 25904 counting only the distinct ones).

The product of its (nonzero) digits is 907200000, while the sum is 67.

The spelling of 34652675555680 in words is "thirty-four trillion, six hundred fifty-two billion, six hundred seventy-five million, five hundred fifty-five thousand, six hundred eighty".