3687444561920 has 480 divisors, whose sum is σ = 10305090432000. Its totient is φ = 1240621645824.

The previous prime is 3687444561919. The next prime is 3687444561929. The reversal of 3687444561920 is 291654447863.

It is a self number, because there is not a number n which added to its sum of digits gives 3687444561920.

It is not an unprimeable number, because it can be changed into a prime (3687444561929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8800583471 + ... + 8800583889.

It is an arithmetic number, because the mean of its divisors is an integer number (21468938400).

It is a 1-persistent number, because it is pandigital, but 2⋅3687444561920 = 7374889123840 is not.

Almost surely, 2^{3687444561920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3687444561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152545216000).

3687444561920 is an abundant number, since it is smaller than the sum of its proper divisors (6617645870080).

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

3687444561920 is a wasteful number, since it uses less digits than its factorization.

3687444561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 3687444561920 in words is "three trillion, six hundred eighty-seven billion, four hundred forty-four million, five hundred sixty-one thousand, nine hundred twenty".