35884125392896 has 351 divisors, whose sum is σ = 80706404770047. Its totient is φ = 15941002936320.

The previous prime is 35884125392893. The next prime is 35884125392897. The reversal of 35884125392896 is 69829352148853.

The square root of 35884125392896 is 5990336.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35884125392891) 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 26 ways as a sum of consecutive naturals, for example, 282552168385 + ... + 282552168511.

Almost surely, 2^{35884125392896} is an apocalyptic number.

35884125392896 is the 5990336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35884125392896

35884125392896 is an abundant number, since it is smaller than the sum of its proper divisors (44822279377151).

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

35884125392896 is an frugal number, since it uses more digits than its factorization.

35884125392896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 207 counting only the distinct ones).

The product of its digits is 895795200, while the sum is 73.

The spelling of 35884125392896 in words is "thirty-five trillion, eight hundred eighty-four billion, one hundred twenty-five million, three hundred ninety-two thousand, eight hundred ninety-six".