363573540 has 108 divisors (see below), whose sum is σ = 1212284892. Its totient is φ = 88133760.

The previous prime is 363573521. The next prime is 363573541. The reversal of 363573540 is 45375363.

363573540 is a `hidden beast` number, since 3 + 63 + 57 + 3 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 292204836 = 8448^2 + 17094^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 363573495 and 363573504.

It is not an unprimeable number, because it can be changed into a prime (363573541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13434 + ... + 30126.

Almost surely, 2^363573540 is an apocalyptic number.

363573540 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 363573540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606142446).

363573540 is an abundant number, since it is smaller than the sum of its proper divisors (848711352).

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

363573540 is a wasteful number, since it uses less digits than its factorization.

363573540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16730 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 363573540 is about 19067.6044641166. The cubic root of 363573540 is about 713.7247485502.

The spelling of 363573540 in words is "three hundred sixty-three million, five hundred seventy-three thousand, five hundred forty".