361967616 has 130 divisors (see below), whose sum is σ = 1082293212. Its totient is φ = 120545280.

The previous prime is 361967611. The next prime is 361967623. The reversal of 361967616 is 616769163.

It is not an unprimeable number, because it can be changed into a prime (361967611) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 331231 + ... + 332321.

Almost surely, 2^361967616 is an apocalyptic number.

361967616 is a gapful number since it is divisible by the number (36) 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 361967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541146606).

361967616 is an abundant number, since it is smaller than the sum of its proper divisors (720325596).

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

361967616 is an equidigital number, since it uses as much as digits as its factorization.

361967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1096 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 361967616 is about 19025.4465387806. The cubic root of 361967616 is about 712.6723439046.

The spelling of 361967616 in words is "three hundred sixty-one million, nine hundred sixty-seven thousand, six hundred sixteen".