361746960 has 80 divisors (see below), whose sum is σ = 1147527744. Its totient is φ = 94219776.

The previous prime is 361746943. The next prime is 361747031. The reversal of 361746960 is 69647163.

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

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 15 ways as a sum of consecutive naturals, for example, 7207 + ... + 27846.

Almost surely, 2^361746960 is an apocalyptic number.

361746960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361746960 is an abundant number, since it is smaller than the sum of its proper divisors (785780784).

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

361746960 is a wasteful number, since it uses less digits than its factorization.

361746960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35112 (or 35106 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 361746960 is about 19019.6466844156. The cubic root of 361746960 is about 712.5274990925.

It can be divided in two parts, 36174 and 6960, that added together give a palindrome (43134).

The spelling of 361746960 in words is "three hundred sixty-one million, seven hundred forty-six thousand, nine hundred sixty".