365675040 has 192 divisors, whose sum is σ = 1307819520. Its totient is φ = 95385600.

The previous prime is 365675021. The next prime is 365675041. The reversal of 365675040 is 40576563.

365675040 is a `hidden beast` number, since 3 + 6 + 567 + 50 + 40 = 666.

365675040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 365674986 and 365675004.

It is not an unprimeable number, because it can be changed into a prime (365675041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202140 + ... + 203940.

It is an arithmetic number, because the mean of its divisors is an integer number (6811560).

Almost surely, 2^365675040 is an apocalyptic number.

365675040 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 365675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653909760).

365675040 is an abundant number, since it is smaller than the sum of its proper divisors (942144480).

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

365675040 is a wasteful number, since it uses less digits than its factorization.

365675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 365675040 is about 19122.6316180593. The cubic root of 365675040 is about 715.0972466227.

The spelling of 365675040 in words is "three hundred sixty-five million, six hundred seventy-five thousand, forty".