361965664 has 24 divisors (see below), whose sum is σ = 713210400. Its totient is φ = 180832896.

The previous prime is 361965661. The next prime is 361965689. The reversal of 361965664 is 466569163.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361965661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41562 + ... + 49510.

It is an arithmetic number, because the mean of its divisors is an integer number (29717100).

Almost surely, 2^361965664 is an apocalyptic number.

It is an amenable number.

361965664 is a deficient number, since it is larger than the sum of its proper divisors (351244736).

361965664 is a wasteful number, since it uses less digits than its factorization.

361965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9382 (or 9374 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The square root of 361965664 is about 19025.3952389957. The cubic root of 361965664 is about 712.6710628149.

The spelling of 361965664 in words is "three hundred sixty-one million, nine hundred sixty-five thousand, six hundred sixty-four".