361182240 has 360 divisors, whose sum is σ = 1362535020. Its totient is φ = 89994240.

The previous prime is 361182163. The next prime is 361182251. The reversal of 361182240 is 42281163.

361182240 is a `hidden beast` number, since 3 + 611 + 8 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 359936784 + 1245456 = 18972^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×361182240² = 260905220982835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 11651025 + ... + 11651055.

Almost surely, 2^361182240 is an apocalyptic number.

361182240 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 361182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681267510).

361182240 is an abundant number, since it is smaller than the sum of its proper divisors (1001352780).

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

361182240 is a wasteful number, since it uses less digits than its factorization.

361182240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 361182240 is about 19004.7951843739. The cubic root of 361182240 is about 712.1565325157.

The spelling of 361182240 in words is "three hundred sixty-one million, one hundred eighty-two thousand, two hundred forty".