363725540 has 96 divisors (see below), whose sum is σ = 860116320. Its totient is φ = 128507904.

The previous prime is 363725533. The next prime is 363725567. The reversal of 363725540 is 45527363.

It can be written as a sum of positive squares in 16 ways, for example, as 5683456 + 358042084 = 2384^2 + 18922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 363725540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364322 + ... + 365318.

It is an arithmetic number, because the mean of its divisors is an integer number (8959545).

Almost surely, 2^363725540 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 363725540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430058160).

363725540 is an abundant number, since it is smaller than the sum of its proper divisors (496390780).

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

363725540 is a wasteful number, since it uses less digits than its factorization.

363725540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 363725540 is about 19071.5898655566. The cubic root of 363725540 is about 713.8241975246.

The spelling of 363725540 in words is "three hundred sixty-three million, seven hundred twenty-five thousand, five hundred forty".