3647384480256 has 320 divisors, whose sum is σ = 11169785088000. Its totient is φ = 1046001254400.

The previous prime is 3647384480191. The next prime is 3647384480269. The reversal of 3647384480256 is 6520844837463.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3647384480256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336748761 + ... + 336759591.

It is an arithmetic number, because the mean of its divisors is an integer number (34905578400).

Almost surely, 2^{3647384480256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3647384480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584892544000).

3647384480256 is an abundant number, since it is smaller than the sum of its proper divisors (7522400607744).

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

3647384480256 is a wasteful number, since it uses less digits than its factorization.

3647384480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11931 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 60.

The spelling of 3647384480256 in words is "three trillion, six hundred forty-seven billion, three hundred eighty-four million, four hundred eighty thousand, two hundred fifty-six".