363125340 has 144 divisors (see below), whose sum is σ = 1173463200. Its totient is φ = 90630144.

The previous prime is 363125339. The next prime is 363125377. The reversal of 363125340 is 43521363.

It is a happy number.

363125340 is a `hidden beast` number, since 3 + 6 + 312 + 5 + 340 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303784 + ... + 304976.

It is an arithmetic number, because the mean of its divisors is an integer number (8149050).

Almost surely, 2^363125340 is an apocalyptic number.

363125340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363125340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586731600).

363125340 is an abundant number, since it is smaller than the sum of its proper divisors (810337860).

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

363125340 is a wasteful number, since it uses less digits than its factorization.

363125340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 363125340 is about 19055.8479213075. The cubic root of 363125340 is about 713.4313434686.

The spelling of 363125340 in words is "three hundred sixty-three million, one hundred twenty-five thousand, three hundred forty".