363418640 has 80 divisors (see below), whose sum is σ = 914608128. Its totient is φ = 133498368.

The previous prime is 363418637. The next prime is 363418763. The reversal of 363418640 is 46814363.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 363418640.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231137 + ... + 232703.

Almost surely, 2^363418640 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 363418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457304064).

363418640 is an abundant number, since it is smaller than the sum of its proper divisors (551189488).

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

363418640 is a wasteful number, since it uses less digits than its factorization.

363418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 363418640 is about 19063.5421682331. The cubic root of 363418640 is about 713.6233736739.

The spelling of 363418640 in words is "three hundred sixty-three million, four hundred eighteen thousand, six hundred forty".