3806438109600 has 288 divisors, whose sum is σ = 14448931459200. Its totient is φ = 870042808320.

The previous prime is 3806438109589. The next prime is 3806438109601. The reversal of 3806438109600 is 69018346083.

It is a super-2 number, since 2×3806438109600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3806438109600.

It is not an unprimeable number, because it can be changed into a prime (3806438109601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1488777 + ... + 3135176.

It is an arithmetic number, because the mean of its divisors is an integer number (50169900900).

Almost surely, 2^{3806438109600} is an apocalyptic number.

3806438109600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3806438109600 is an abundant number, since it is smaller than the sum of its proper divisors (10642493349600).

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

3806438109600 is a wasteful number, since it uses less digits than its factorization.

3806438109600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623997 (or 4623970 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 3806438109600 in words is "three trillion, eight hundred six billion, four hundred thirty-eight million, one hundred nine thousand, six hundred".