3653386661344 has 216 divisors, whose sum is σ = 8678623310784. Its totient is φ = 1507927680000.

The previous prime is 3653386661341. The next prime is 3653386661363. The reversal of 3653386661344 is 4431666833563.

It is a happy number.

3653386661344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653386661341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3062352012 + ... + 3062353204.

It is an arithmetic number, because the mean of its divisors is an integer number (40178811624).

Almost surely, 2^{3653386661344} 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 3653386661344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339311655392).

3653386661344 is an abundant number, since it is smaller than the sum of its proper divisors (5025236649440).

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

3653386661344 is a wasteful number, since it uses less digits than its factorization.

3653386661344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1484 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 58.

The spelling of 3653386661344 in words is "three trillion, six hundred fifty-three billion, three hundred eighty-six million, six hundred sixty-one thousand, three hundred forty-four".