3868081440 has 48 divisors (see below), whose sum is σ = 12184458048. Its totient is φ = 1031488256.

The previous prime is 3868081439. The next prime is 3868081447. The reversal of 3868081440 is 441808683.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×3868081440³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3868081392 and 3868081401.

It is not an unprimeable number, because it can be changed into a prime (3868081447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4028772 + ... + 4029731.

It is an arithmetic number, because the mean of its divisors is an integer number (253842876).

Almost surely, 2^3868081440 is an apocalyptic number.

3868081440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3868081440 is an abundant number, since it is smaller than the sum of its proper divisors (8316376608).

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

3868081440 is a wasteful number, since it uses less digits than its factorization.

3868081440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8058521 (or 8058513 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 3868081440 is about 62193.9019518795. The cubic root of 3868081440 is about 1569.7549808989.

The spelling of 3868081440 in words is "three billion, eight hundred sixty-eight million, eighty-one thousand, four hundred forty".