3653343260544 has 256 divisors, whose sum is σ = 10390971548160. Its totient is φ = 1134465024000.

The previous prime is 3653343260533. The next prime is 3653343260549. The reversal of 3653343260544 is 4450623433563.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3653343260493 and 3653343260502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653343260549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217620919 + ... + 217637705.

It is an arithmetic number, because the mean of its divisors is an integer number (40589732610).

Almost surely, 2^{3653343260544} 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 3653343260544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195485774080).

3653343260544 is an abundant number, since it is smaller than the sum of its proper divisors (6737628287616).

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

3653343260544 is a wasteful number, since it uses less digits than its factorization.

3653343260544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17469 (or 17457 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 48.

The spelling of 3653343260544 in words is "three trillion, six hundred fifty-three billion, three hundred forty-three million, two hundred sixty thousand, five hundred forty-four".