3668748532740 has 288 divisors, whose sum is σ = 12071974247424. Its totient is φ = 898338754560.

The previous prime is 3668748532721. The next prime is 3668748532747. The reversal of 3668748532740 is 472358478663.

3668748532740 is a `hidden beast` number, since 3 + 6 + 6 + 87 + 485 + 3 + 2 + 74 + 0 = 666.

3668748532740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3668748532747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45550705 + ... + 45631175.

It is an arithmetic number, because the mean of its divisors is an integer number (41916577248).

Almost surely, 2^{3668748532740} is an apocalyptic number.

3668748532740 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 3668748532740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035987123712).

3668748532740 is an abundant number, since it is smaller than the sum of its proper divisors (8403225714684).

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

3668748532740 is a wasteful number, since it uses less digits than its factorization.

3668748532740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80867 (or 80862 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 3668748532740 in words is "three trillion, six hundred sixty-eight billion, seven hundred forty-eight million, five hundred thirty-two thousand, seven hundred forty".