3654617644040 has 256 divisors, whose sum is σ = 9162786769920. Its totient is φ = 1300808535040.

The previous prime is 3654617644031. The next prime is 3654617644057. The reversal of 3654617644040 is 404467164563.

It is a self number, because there is not a number n which added to its sum of digits gives 3654617644040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2192331287 + ... + 2192332953.

It is an arithmetic number, because the mean of its divisors is an integer number (35792135820).

Almost surely, 2^{3654617644040} 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 3654617644040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581393384960).

3654617644040 is an abundant number, since it is smaller than the sum of its proper divisors (5508169125880).

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

3654617644040 is a wasteful number, since it uses less digits than its factorization.

3654617644040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 50.

The spelling of 3654617644040 in words is "three trillion, six hundred fifty-four billion, six hundred seventeen million, six hundred forty-four thousand, forty".