3656281086640 has 240 divisors, whose sum is σ = 11016646764480. Its totient is φ = 1117250426880.

The previous prime is 3656281086637. The next prime is 3656281086643. The reversal of 3656281086640 is 466801826563.

It is an interprime number because it is at equal distance from previous prime (3656281086637) and next prime (3656281086643).

It is not an unprimeable number, because it can be changed into a prime (3656281086643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240805 + ... + 2714875.

It is an arithmetic number, because the mean of its divisors is an integer number (45902694852).

Almost surely, 2^{3656281086640} 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 3656281086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508323382240).

3656281086640 is an abundant number, since it is smaller than the sum of its proper divisors (7360365677840).

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

3656281086640 is a wasteful number, since it uses less digits than its factorization.

3656281086640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474140 (or 2474127 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 3656281086640 in words is "three trillion, six hundred fifty-six billion, two hundred eighty-one million, eighty-six thousand, six hundred forty".