3808056097440 has 360 divisors, whose sum is σ = 15633432907092. Its totient is φ = 870412677120.

The previous prime is 3808056097411. The next prime is 3808056097441. The reversal of 3808056097440 is 447906508083.

3808056097440 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 0 + 560 + 9 + 74 + 4 + 0 = 666.

3808056097440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3791603417616 + 16452679824 = 1947204^2 + 128268^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3808056097441) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2363241 + ... + 3633320.

Almost surely, 2^{3808056097440} is an apocalyptic number.

3808056097440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3808056097440 is an abundant number, since it is smaller than the sum of its proper divisors (11825376809652).

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

3808056097440 is a wasteful number, since it uses less digits than its factorization.

3808056097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996602 (or 5996578 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3808056097440 in words is "three trillion, eight hundred eight billion, fifty-six million, ninety-seven thousand, four hundred forty".