361884144 has 20 divisors (see below), whose sum is σ = 934867496. Its totient is φ = 120628032.

The previous prime is 361884143. The next prime is 361884167. The reversal of 361884144 is 441488163.

It is a super-2 number, since 2×361884144² = 261920267357225472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361884143) 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, 3769579 + ... + 3769674.

Almost surely, 2^361884144 is an apocalyptic number.

It is an amenable number.

361884144 is an abundant number, since it is smaller than the sum of its proper divisors (572983352).

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

361884144 is a wasteful number, since it uses less digits than its factorization.

361884144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7539264 (or 7539258 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 361884144 is about 19023.2527187124. The cubic root of 361884144 is about 712.6175574572.

The spelling of 361884144 in words is "three hundred sixty-one million, eight hundred eighty-four thousand, one hundred forty-four".