35838052160 has 56 divisors (see below), whose sum is σ = 85912223400. Its totient is φ = 14238992384.

The previous prime is 35838052147. The next prime is 35838052219. The reversal of 35838052160 is 6125083853.

It can be written as a sum of positive squares in 4 ways, for example, as 6755524864 + 29082527296 = 82192^2 + 170536^2 .

It is a super-3 number, since 3×35838052160³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 328139 + ... + 423498.

Almost surely, 2^35838052160 is an apocalyptic number.

It is an amenable number.

35838052160 is an abundant number, since it is smaller than the sum of its proper divisors (50074171240).

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

35838052160 is a wasteful number, since it uses less digits than its factorization.

35838052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751803 (or 751793 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 35838052160 in words is "thirty-five billion, eight hundred thirty-eight million, fifty-two thousand, one hundred sixty".