361114320 has 120 divisors (see below), whose sum is σ = 1302264864. Its totient is φ = 82537728.

The previous prime is 361114291. The next prime is 361114321. The reversal of 361114320 is 23411163.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361114321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3594 + ... + 27113.

Almost surely, 2^361114320 is an apocalyptic number.

361114320 is a gapful number since it is divisible by the number (30) 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 361114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651132432).

361114320 is an abundant number, since it is smaller than the sum of its proper divisors (941150544).

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

361114320 is a wasteful number, since it uses less digits than its factorization.

361114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30737 (or 30724 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 361114320 is about 19003.0081829167. The cubic root of 361114320 is about 712.1118895824. Note that the first 3 decimals are identical.

Adding to 361114320 its reverse (23411163), we get a palindrome (384525483).

It can be divided in two parts, 3611143 and 20, that added together give a palindrome (3611163).

The spelling of 361114320 in words is "three hundred sixty-one million, one hundred fourteen thousand, three hundred twenty".