361101312 has 288 divisors, whose sum is σ = 1234200240. Its totient is φ = 100270080.

The previous prime is 361101283. The next prime is 361101313. The reversal of 361101312 is 213101163.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361101313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2635708 + ... + 2635844.

Almost surely, 2^361101312 is an apocalyptic number.

361101312 is a gapful number since it is divisible by the number (32) 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 361101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617100120).

361101312 is an abundant number, since it is smaller than the sum of its proper divisors (873098928).

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

361101312 is a wasteful number, since it uses less digits than its factorization.

361101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 361101312 is about 19002.6659182337. The cubic root of 361101312 is about 712.1033389544.

Adding to 361101312 its reverse (213101163), we get a palindrome (574202475).

The spelling of 361101312 in words is "three hundred sixty-one million, one hundred one thousand, three hundred twelve".