361272960 has 384 divisors, whose sum is σ = 1363340160. Its totient is φ = 91238400.

The previous prime is 361272953. The next prime is 361273007. The reversal of 361272960 is 69272163.

361272960 is a `hidden beast` number, since 361 + 2 + 7 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3576910 + ... + 3577010.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 2^361272960 is an apocalyptic number.

361272960 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 361272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681670080).

361272960 is an abundant number, since it is smaller than the sum of its proper divisors (1002067200).

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

361272960 is a wasteful number, since it uses less digits than its factorization.

361272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 361272960 is about 19007.1818005721. The cubic root of 361272960 is about 712.2161528634.

The spelling of 361272960 in words is "three hundred sixty-one million, two hundred seventy-two thousand, nine hundred sixty".