360339840 has 384 divisors, whose sum is σ = 1479179520. Its totient is φ = 82114560.

The previous prime is 360339823. The next prime is 360339853. The reversal of 360339840 is 48933063.

360339840 is a `hidden beast` number, since 3 + 603 + 3 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 360339795 and 360339804.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1088475 + ... + 1088805.

It is an arithmetic number, because the mean of its divisors is an integer number (3852030).

Almost surely, 2^360339840 is an apocalyptic number.

360339840 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 360339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739589760).

360339840 is an abundant number, since it is smaller than the sum of its proper divisors (1118839680).

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

360339840 is an equidigital number, since it uses as much as digits as its factorization.

360339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 360339840 is about 18982.6194188263. The cubic root of 360339840 is about 711.6024376497.

The spelling of 360339840 in words is "three hundred sixty million, three hundred thirty-nine thousand, eight hundred forty".