363134240 has 96 divisors (see below), whose sum is σ = 991751040. Its totient is φ = 123070464.

The previous prime is 363134209. The next prime is 363134273. The reversal of 363134240 is 42431363.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97859 + ... + 101501.

It is an arithmetic number, because the mean of its divisors is an integer number (10330740).

Almost surely, 2^363134240 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 363134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495875520).

363134240 is an abundant number, since it is smaller than the sum of its proper divisors (628616800).

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

363134240 is a wasteful number, since it uses less digits than its factorization.

363134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 363134240 is about 19056.0814439905. The cubic root of 363134240 is about 713.4371720227.

The spelling of 363134240 in words is "three hundred sixty-three million, one hundred thirty-four thousand, two hundred forty".