361867104 has 144 divisors (see below), whose sum is σ = 1094249520. Its totient is φ = 113218560.

The previous prime is 361867091. The next prime is 361867109. The reversal of 361867104 is 401768163.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361867109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 308439 + ... + 309609.

It is an arithmetic number, because the mean of its divisors is an integer number (7598955).

Almost surely, 2^361867104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361867104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547124760).

361867104 is an abundant number, since it is smaller than the sum of its proper divisors (732382416).

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

361867104 is a wasteful number, since it uses less digits than its factorization.

361867104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 361867104 is about 19022.8048405066. The cubic root of 361867104 is about 712.6063722994.

The spelling of 361867104 in words is "three hundred sixty-one million, eight hundred sixty-seven thousand, one hundred four".