35364864 has 56 divisors (see below), whose sum is σ = 94366080. Its totient is φ = 11780096.

The previous prime is 35364853. The next prime is 35364881. The reversal of 35364864 is 46846353.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23857 + ... + 25295.

Almost surely, 2^35364864 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 35364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47183040).

35364864 is an abundant number, since it is smaller than the sum of its proper divisors (59001216).

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

35364864 is an equidigital number, since it uses as much as digits as its factorization.

35364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1444 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 35364864 is about 5946.8364699225. The cubic root of 35364864 is about 328.2393652318.

The spelling of 35364864 in words is "thirty-five million, three hundred sixty-four thousand, eight hundred sixty-four".