361965280 has 48 divisors (see below), whose sum is σ = 858044880. Its totient is φ = 144294912.

The previous prime is 361965251. The next prime is 361965293. The reversal of 361965280 is 82569163.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45436 + ... + 52804.

It is an arithmetic number, because the mean of its divisors is an integer number (17875935).

Almost surely, 2^361965280 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 361965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429022440).

361965280 is an abundant number, since it is smaller than the sum of its proper divisors (496079600).

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

361965280 is a wasteful number, since it uses less digits than its factorization.

361965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 361965280 is about 19025.3851472184. The cubic root of 361965280 is about 712.6708107968.

The spelling of 361965280 in words is "three hundred sixty-one million, nine hundred sixty-five thousand, two hundred eighty".