3681482628096 has 2112 divisors, whose sum is σ = 14687568896000. Its totient is φ = 893931945984.

The previous prime is 3681482628079. The next prime is 3681482628133. The reversal of 3681482628096 is 6908262841863.

3681482628096 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 482 + 62 + 8 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 18499912605 + ... + 18499912803.

Almost surely, 2^{3681482628096} is an apocalyptic number.

3681482628096 is a gapful number since it is divisible by the number (36) 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 3681482628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343784448000).

3681482628096 is an abundant number, since it is smaller than the sum of its proper divisors (11006086267904).

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

3681482628096 is a wasteful number, since it uses less digits than its factorization.

3681482628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 3681482628096 in words is "three trillion, six hundred eighty-one billion, four hundred eighty-two million, six hundred twenty-eight thousand, ninety-six".