3967808127360 has 2048 divisors, whose sum is σ = 17413303173120. Its totient is φ = 743178240000.

The previous prime is 3967808127347. The next prime is 3967808127373. The reversal of 3967808127360 is 637218087693.

It is an interprime number because it is at equal distance from previous prime (3967808127347) and next prime (3967808127373).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3967808127294 and 3967808127303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9894783160 + ... + 9894783560.

It is an arithmetic number, because the mean of its divisors is an integer number (8502589440).

Almost surely, 2^{3967808127360} is an apocalyptic number.

3967808127360 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 3967808127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706651586560).

3967808127360 is an abundant number, since it is smaller than the sum of its proper divisors (13445495045760).

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

3967808127360 is a wasteful number, since it uses less digits than its factorization.

3967808127360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 3967808127360 in words is "three trillion, nine hundred sixty-seven billion, eight hundred eight million, one hundred twenty-seven thousand, three hundred sixty".