35838766152 has 192 divisors, whose sum is σ = 116949530880. Its totient is φ = 9693167616.

The previous prime is 35838766141. The next prime is 35838766157. The reversal of 35838766152 is 25166783853.

35838766152 is a `hidden beast` number, since 3 + 58 + 387 + 66 + 152 = 666.

It is not an unprimeable number, because it can be changed into a prime (35838766157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1108488 + ... + 1140360.

It is an arithmetic number, because the mean of its divisors is an integer number (609112140).

Almost surely, 2^35838766152 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 35838766152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58474765440).

35838766152 is an abundant number, since it is smaller than the sum of its proper divisors (81110764728).

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

35838766152 is a wasteful number, since it uses less digits than its factorization.

35838766152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32012 (or 32005 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 35838766152 in words is "thirty-five billion, eight hundred thirty-eight million, seven hundred sixty-six thousand, one hundred fifty-two".