35385168 has 80 divisors (see below), whose sum is σ = 112520576. Its totient is φ = 9331200.

The previous prime is 35385157. The next prime is 35385169. The reversal of 35385168 is 86158353.

It is a super-2 number, since 2×35385168² = 2504220228776448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35385169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318 + ... + 8418.

Almost surely, 2^35385168 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 35385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56260288).

35385168 is an abundant number, since it is smaller than the sum of its proper divisors (77135408).

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

35385168 is a wasteful number, since it uses less digits than its factorization.

35385168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8132 (or 8126 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 35385168 is about 5948.5433511071. The cubic root of 35385168 is about 328.3021704786.

It can be divided in two parts, 35385 and 168, that added together give a palindrome (35553).

The spelling of 35385168 in words is "thirty-five million, three hundred eighty-five thousand, one hundred sixty-eight".