3675670911360 has 1024 divisors, whose sum is σ = 15128945510400. Its totient is φ = 826042613760.

The previous prime is 3675670911317. The next prime is 3675670911361. The reversal of 3675670911360 is 631190765763.

3675670911360 is a `hidden beast` number, since 3 + 6 + 7 + 567 + 0 + 9 + 1 + 13 + 60 = 666.

3675670911360 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 = 3675670911297 and 3675670911306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675670911361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4830053380 + ... + 4830054140.

It is an arithmetic number, because the mean of its divisors is an integer number (14774360850).

Almost surely, 2^{3675670911360} is an apocalyptic number.

3675670911360 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 3675670911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7564472755200).

3675670911360 is an abundant number, since it is smaller than the sum of its proper divisors (11453274599040).

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

3675670911360 is a wasteful number, since it uses less digits than its factorization.

3675670911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 3675670911360 in words is "three trillion, six hundred seventy-five billion, six hundred seventy million, nine hundred eleven thousand, three hundred sixty".