361765440 has 280 divisors, whose sum is σ = 1364220792. Its totient is φ = 90685440.

The previous prime is 361765429. The next prime is 361765447. The reversal of 361765440 is 44567163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 318836736 = 6552^2 + 17856^2 .

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 = 361765395 and 361765404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361765447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440230 + ... + 441050.

Almost surely, 2^361765440 is an apocalyptic number.

361765440 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 361765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682110396).

361765440 is an abundant number, since it is smaller than the sum of its proper divisors (1002455352).

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

361765440 is a wasteful number, since it uses less digits than its factorization.

361765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 361765440 is about 19020.1324916521. The cubic root of 361765440 is about 712.5396321445.

It can be divided in two parts, 36176 and 5440, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 361765440 in words is "three hundred sixty-one million, seven hundred sixty-five thousand, four hundred forty".