35988768 has 144 divisors (see below), whose sum is σ = 110073600. Its totient is φ = 11128320.

The previous prime is 35988731. The next prime is 35988769. The reversal of 35988768 is 86788953.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35988769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258843 + ... + 258981.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 2^35988768 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 35988768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

35988768 is an abundant number, since it is smaller than the sum of its proper divisors (74084832).

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

35988768 is a wasteful number, since it uses less digits than its factorization.

35988768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 35988768 is about 5999.0639269806. The cubic root of 35988768 is about 330.1583812741.

The spelling of 35988768 in words is "thirty-five million, nine hundred eighty-eight thousand, seven hundred sixty-eight".