360003948287616 has 1280 divisors, whose sum is σ = 1240478227296000. Its totient is φ = 102915322675200.

The previous prime is 360003948287603. The next prime is 360003948287617. The reversal of 360003948287616 is 616782849300063.

360003948287616 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 0 + 3 + 9 + 4 + 8 + 2 + 8 + 7 + 616 = 666.

It is a super-3 number, since 3×360003948287616³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (360003948287617) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9748524640 + ... + 9748561568.

It is an arithmetic number, because the mean of its divisors is an integer number (969123615075).

Almost surely, 2^{360003948287616} is an apocalyptic number.

360003948287616 is a gapful number since it is divisible by the number (36) 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 360003948287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620239113648000).

360003948287616 is an abundant number, since it is smaller than the sum of its proper divisors (880474279008384).

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

360003948287616 is a wasteful number, since it uses less digits than its factorization.

360003948287616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37103 (or 37082 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 360003948287616 in words is "three hundred sixty trillion, three billion, nine hundred forty-eight million, two hundred eighty-seven thousand, six hundred sixteen".