3653749009680 has 960 divisors, whose sum is σ = 15118168375296. Its totient is φ = 720824832000.

The previous prime is 3653749009633. The next prime is 3653749009699. The reversal of 3653749009680 is 869009473563.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 212529885 + ... + 212547075.

Almost surely, 2^{3653749009680} is an apocalyptic number.

3653749009680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3653749009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559084187648).

3653749009680 is an abundant number, since it is smaller than the sum of its proper divisors (11464419365616).

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

3653749009680 is a wasteful number, since it uses less digits than its factorization.

3653749009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17316 (or 17303 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 3653749009680 in words is "three trillion, six hundred fifty-three billion, seven hundred forty-nine million, nine thousand, six hundred eighty".