3681254640960 has 1680 divisors, whose sum is σ = 14740223097600. Its totient is φ = 871071252480.

The previous prime is 3681254640953. The next prime is 3681254640971. The reversal of 3681254640960 is 690464521863.

3681254640960 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 2 + 546 + 4 + 0 + 96 + 0 = 666.

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 = 3681254640897 and 3681254640906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18498766941 + ... + 18498767139.

It is an arithmetic number, because the mean of its divisors is an integer number (8773942320).

Almost surely, 2^{3681254640960} is an apocalyptic number.

3681254640960 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 3681254640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7370111548800).

3681254640960 is an abundant number, since it is smaller than the sum of its proper divisors (11058968456640).

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

3681254640960 is a wasteful number, since it uses less digits than its factorization.

3681254640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3681254640960 in words is "three trillion, six hundred eighty-one billion, two hundred fifty-four million, six hundred forty thousand, nine hundred sixty".