35357884350672 has 160 divisors (see below), whose sum is σ = 99295909655040. Its totient is φ = 10776680732160.

The previous prime is 35357884350653. The next prime is 35357884350673. The reversal of 35357884350672 is 27605348875353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35357884350673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090906147 + ... + 1090938557.

It is an arithmetic number, because the mean of its divisors is an integer number (620599435344).

Almost surely, 2^{35357884350672} 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 35357884350672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49647954827520).

35357884350672 is an abundant number, since it is smaller than the sum of its proper divisors (63938025304368).

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

35357884350672 is a wasteful number, since it uses less digits than its factorization.

35357884350672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48881 (or 48875 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 66.

The spelling of 35357884350672 in words is "thirty-five trillion, three hundred fifty-seven billion, eight hundred eighty-four million, three hundred fifty thousand, six hundred seventy-two".