35768368 has 40 divisors (see below), whose sum is σ = 72294480. Its totient is φ = 17122560.

The previous prime is 35768353. The next prime is 35768377. The reversal of 35768368 is 86386753.

It is a super-2 number, since 2×35768368² = 2558752298766848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72603 + ... + 73093.

It is an arithmetic number, because the mean of its divisors is an integer number (1807362).

Almost surely, 2^35768368 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 35768368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36147240).

35768368 is an abundant number, since it is smaller than the sum of its proper divisors (36526112).

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

35768368 is a wasteful number, since it uses less digits than its factorization.

35768368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 679 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 35768368 is about 5980.6661836287. Note that the first 3 decimals coincide. The cubic root of 35768368 is about 329.4830227897.

The spelling of 35768368 in words is "thirty-five million, seven hundred sixty-eight thousand, three hundred sixty-eight".