361109120 has 32 divisors (see below), whose sum is σ = 863278020. Its totient is φ = 144443392.

The previous prime is 361109113. The next prime is 361109123. The reversal of 361109120 is 21901163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 347151424 + 13957696 = 18632^2 + 3736^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (361109123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 281477 + ... + 282756.

Almost surely, 2^361109120 is an apocalyptic number.

It is an amenable number.

361109120 is an abundant number, since it is smaller than the sum of its proper divisors (502168900).

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

361109120 is an equidigital number, since it uses as much as digits as its factorization.

361109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564252 (or 564240 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 361109120 is about 19002.8713619811. The cubic root of 361109120 is about 712.1084714593.

The spelling of 361109120 in words is "three hundred sixty-one million, one hundred nine thousand, one hundred twenty".