35364768 has 48 divisors (see below), whose sum is σ = 93169440. Its totient is φ = 11745536.

The previous prime is 35364751. The next prime is 35364779. The reversal of 35364768 is 86746353.

35364768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36871 + ... + 37817.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^35364768 is an apocalyptic number.

It is an amenable number.

35364768 is an abundant number, since it is smaller than the sum of its proper divisors (57804672).

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

35364768 is a wasteful number, since it uses less digits than its factorization.

35364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 35364768 is about 5946.8283983986. The cubic root of 35364768 is about 328.2390682232.

The spelling of 35364768 in words is "thirty-five million, three hundred sixty-four thousand, seven hundred sixty-eight".