3980593772640 has 144 divisors (see below), whose sum is σ = 13840074179568. Its totient is φ = 1041463507968.

The previous prime is 3980593772611. The next prime is 3980593772653. The reversal of 3980593772640 is 462773950893.

3980593772640 is a `hidden beast` number, since 39 + 8 + 0 + 593 + 7 + 7 + 2 + 6 + 4 + 0 = 666.

3980593772640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26001994 + ... + 26154633.

It is an arithmetic number, because the mean of its divisors is an integer number (96111626247).

Almost surely, 2^{3980593772640} is an apocalyptic number.

3980593772640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3980593772640 is an abundant number, since it is smaller than the sum of its proper divisors (9859480406928).

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

3980593772640 is a wasteful number, since it uses less digits than its factorization.

3980593772640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52156701 (or 52156690 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3980593772640 in words is "three trillion, nine hundred eighty billion, five hundred ninety-three million, seven hundred seventy-two thousand, six hundred forty".