35385768 has 128 divisors (see below), whose sum is σ = 109641600. Its totient is φ = 10483200.

The previous prime is 35385751. The next prime is 35385769. The reversal of 35385768 is 86758353.

35385768 is a `hidden beast` number, since 3 + 538 + 57 + 68 = 666.

35385768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (604800) is a multiple of the sum of its prime divisors (350).

It is not an unprimeable number, because it can be changed into a prime (35385769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 125788 + ... + 126068.

It is an arithmetic number, because the mean of its divisors is an integer number (856575).

Almost surely, 2^35385768 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 35385768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54820800).

35385768 is an abundant number, since it is smaller than the sum of its proper divisors (74255832).

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

35385768 is a wasteful number, since it uses less digits than its factorization.

35385768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 35385768 is about 5948.5937834080. The cubic root of 35385768 is about 328.3040260601.

The spelling of 35385768 in words is "thirty-five million, three hundred eighty-five thousand, seven hundred sixty-eight".