35352117892 has 144 divisors (see below), whose sum is σ = 82304232192. Its totient is φ = 12913528320.

The previous prime is 35352117817. The next prime is 35352117907. The reversal of 35352117892 is 29871125353.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 47 ways as a sum of consecutive naturals, for example, 7038342 + ... + 7043362.

It is an arithmetic number, because the mean of its divisors is an integer number (571557168).

Almost surely, 2^35352117892 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 35352117892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41152116096).

35352117892 is an abundant number, since it is smaller than the sum of its proper divisors (46952114300).

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

35352117892 is a wasteful number, since it uses less digits than its factorization.

35352117892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5095 counting only the distinct ones).

The product of its digits is 453600, while the sum is 46.

The spelling of 35352117892 in words is "thirty-five billion, three hundred fifty-two million, one hundred seventeen thousand, eight hundred ninety-two".