3809687444640 has 1440 divisors, whose sum is σ = 16715140041600. Its totient is φ = 783507271680.

The previous prime is 3809687444621. The next prime is 3809687444711. The reversal of 3809687444640 is 464447869083.

3809687444640 is a `hidden beast` number, since 3 + 8 + 0 + 96 + 87 + 4 + 4 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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, 4145470101 + ... + 4145471019.

It is an arithmetic number, because the mean of its divisors is an integer number (11607736140).

Almost surely, 2^{3809687444640} is an apocalyptic number.

3809687444640 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 3809687444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357570020800).

3809687444640 is an abundant number, since it is smaller than the sum of its proper divisors (12905452596960).

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

3809687444640 is a wasteful number, since it uses less digits than its factorization.

3809687444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 3809687444640 in words is "three trillion, eight hundred nine billion, six hundred eighty-seven million, four hundred forty-four thousand, six hundred forty".