35668128 has 48 divisors (see below), whose sum is σ = 94965696. Its totient is φ = 11719680.

The previous prime is 35668117. The next prime is 35668133. The reversal of 35668128 is 82186653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4200 + ... + 9432.

It is an arithmetic number, because the mean of its divisors is an integer number (1978452).

Almost surely, 2^35668128 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 35668128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47482848).

35668128 is an abundant number, since it is smaller than the sum of its proper divisors (59297568).

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

35668128 is a wasteful number, since it uses less digits than its factorization.

35668128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5309 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 35668128 is about 5972.2799666459. The cubic root of 35668128 is about 329.1749453739.

The spelling of 35668128 in words is "thirty-five million, six hundred sixty-eight thousand, one hundred twenty-eight".