3756009418560 has 1008 divisors, whose sum is σ = 15925795367040. Its totient is φ = 807857971200.

The previous prime is 3756009418519. The next prime is 3756009418589. The reversal of 3756009418560 is 658149006573.

3756009418560 is a `hidden beast` number, since 3 + 7 + 5 + 60 + 0 + 9 + 4 + 18 + 560 = 666.

3756009418560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3756009418560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3756009418497 and 3756009418506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 404868642 + ... + 404877918.

Almost surely, 2^{3756009418560} is an apocalyptic number.

3756009418560 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 3756009418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962897683520).

3756009418560 is an abundant number, since it is smaller than the sum of its proper divisors (12169785948480).

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

3756009418560 is a wasteful number, since it uses less digits than its factorization.

3756009418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9464 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3756009418560 in words is "three trillion, seven hundred fifty-six billion, nine million, four hundred eighteen thousand, five hundred sixty".