3807138558240 has 72 divisors (see below), whose sum is σ = 12991860334908. Its totient is φ = 1015236948480.

The previous prime is 3807138558221. The next prime is 3807138558241. The reversal of 3807138558240 is 428558317083.

3807138558240 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 13 + 8 + 5 + 582 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3250938817296 + 556199740944 = 1803036^2 + 745788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3807138558241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1321921671 + ... + 1321924550.

Almost surely, 2^{3807138558240} is an apocalyptic number.

3807138558240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3807138558240 is an abundant number, since it is smaller than the sum of its proper divisors (9184721776668).

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

3807138558240 is a wasteful number, since it uses less digits than its factorization.

3807138558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643846242 (or 2643846231 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 3807138558240 in words is "three trillion, eight hundred seven billion, one hundred thirty-eight million, five hundred fifty-eight thousand, two hundred forty".