35638056 has 80 divisors (see below), whose sum is σ = 102220800. Its totient is φ = 11594016.

The previous prime is 35638039. The next prime is 35638121. The reversal of 35638056 is 65083653.

35638056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35638056.

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 19 ways as a sum of consecutive naturals, for example, 27225 + ... + 28503.

It is an arithmetic number, because the mean of its divisors is an integer number (1277760).

Almost surely, 2^35638056 is an apocalyptic number.

35638056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35638056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51110400).

35638056 is an abundant number, since it is smaller than the sum of its proper divisors (66582744).

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

35638056 is a wasteful number, since it uses less digits than its factorization.

35638056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 35638056 is about 5969.7618042934. The cubic root of 35638056 is about 329.0824096118.

The spelling of 35638056 in words is "thirty-five million, six hundred thirty-eight thousand, fifty-six".