361867280 has 80 divisors (see below), whose sum is σ = 883336320. Its totient is φ = 137601024.

The previous prime is 361867277. The next prime is 361867291. The reversal of 361867280 is 82768163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354611 + ... + 355629.

It is an arithmetic number, because the mean of its divisors is an integer number (11041704).

Almost surely, 2^361867280 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 361867280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441668160).

361867280 is an abundant number, since it is smaller than the sum of its proper divisors (521469040).

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

361867280 is a wasteful number, since it uses less digits than its factorization.

361867280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 361867280 is about 19022.8094665325. The cubic root of 361867280 is about 712.6064878286.

The spelling of 361867280 in words is "three hundred sixty-one million, eight hundred sixty-seven thousand, two hundred eighty".