3681503709120 has 168 divisors, whose sum is σ = 12664802535216. Its totient is φ = 981582077952.

The previous prime is 3681503709077. The next prime is 3681503709133. The reversal of 3681503709120 is 219073051863.

3681503709120 is a `hidden beast` number, since 3 + 6 + 8 + 150 + 370 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19122459 + ... + 19314021.

Almost surely, 2^{3681503709120} is an apocalyptic number.

3681503709120 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 3681503709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332401267608).

3681503709120 is an abundant number, since it is smaller than the sum of its proper divisors (8983298826096).

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

3681503709120 is a wasteful number, since it uses less digits than its factorization.

3681503709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198259 (or 198246 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3681503709120 in words is "three trillion, six hundred eighty-one billion, five hundred three million, seven hundred nine thousand, one hundred twenty".