3687103188480 has 320 divisors, whose sum is σ = 11920520037888. Its totient is φ = 972170035200.

The previous prime is 3687103188449. The next prime is 3687103188487. The reversal of 3687103188480 is 848813017863.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3687103188480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687103188487) 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, 246605005 + ... + 246619955.

Almost surely, 2^{3687103188480} is an apocalyptic number.

3687103188480 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 3687103188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960260018944).

3687103188480 is an abundant number, since it is smaller than the sum of its proper divisors (8233416849408).

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

3687103188480 is a wasteful number, since it uses less digits than its factorization.

3687103188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15321 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 3687103188480 in words is "three trillion, six hundred eighty-seven billion, one hundred three million, one hundred eighty-eight thousand, four hundred eighty".