361380 has 48 divisors (see below), whose sum is σ = 1068480. Its totient is φ = 91008.

The previous prime is 361373. The next prime is 361409. The reversal of 361380 is 83163.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361380.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2³⁶¹³⁸⁰ is an apocalyptic number.

361380 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 361380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534240).

361380 is an abundant number, since it is smaller than the sum of its proper divisors (707100).

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

361380 is a wasteful number, since it uses less digits than its factorization.

361380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 346 counting only the distinct ones).

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

The square root of 361380 is about 601.1489000239. The cubic root of 361380 is about 71.2286485730.

It can be divided in two parts, 361 and 380, that added together give a triangular number (741 = T₃₈).

The spelling of 361380 in words is "three hundred sixty-one thousand, three hundred eighty".