365538040 has 192 divisors, whose sum is σ = 1015740000. Its totient is φ = 117863424.

The previous prime is 365538023. The next prime is 365538053. The reversal of 365538040 is 40835563.

It is a junction number, because it is equal to n+sod(n) for n = 365537987 and 365538005.

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, 3353506 + ... + 3353614.

Almost surely, 2^365538040 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 365538040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507870000).

365538040 is an abundant number, since it is smaller than the sum of its proper divisors (650201960).

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

365538040 is a wasteful number, since it uses less digits than its factorization.

365538040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 365538040 is about 19119.0491395362. The cubic root of 365538040 is about 715.0079318402.

The spelling of 365538040 in words is "three hundred sixty-five million, five hundred thirty-eight thousand, forty".