3607653838656 has 672 divisors, whose sum is σ = 11975233311360. Its totient is φ = 952726634496.

The previous prime is 3607653838643. The next prime is 3607653838667. The reversal of 3607653838656 is 6568383567063.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1866348666 + ... + 1866350598.

Almost surely, 2^{3607653838656} 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 3607653838656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987616655680).

3607653838656 is an abundant number, since it is smaller than the sum of its proper divisors (8367579472704).

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

3607653838656 is a wasteful number, since it uses less digits than its factorization.

3607653838656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 66.

The spelling of 3607653838656 in words is "three trillion, six hundred seven billion, six hundred fifty-three million, eight hundred thirty-eight thousand, six hundred fifty-six".