3740841664560 has 5120 divisors, whose sum is σ = 19582746624000. Its totient is φ = 643778150400.

The previous prime is 3740841664537. The next prime is 3740841664603. The reversal of 3740841664560 is 654661480473.

3740841664560 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 8 + 4 + 16 + 64 + 560 = 666.

3740841664560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3740841664497 and 3740841664506.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 55833457647 + ... + 55833457713.

It is an arithmetic number, because the mean of its divisors is an integer number (3824755200).

Almost surely, 2^{3740841664560} is an apocalyptic number.

3740841664560 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 3740841664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9791373312000).

3740841664560 is an abundant number, since it is smaller than the sum of its proper divisors (15841904959440).

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

3740841664560 is a wasteful number, since it uses less digits than its factorization.

3740841664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 3740841664560 in words is "three trillion, seven hundred forty billion, eight hundred forty-one million, six hundred sixty-four thousand, five hundred sixty".