38068107840 has 1008 divisors, whose sum is σ = 161135275392. Its totient is φ = 8527970304.

The previous prime is 38068107811. The next prime is 38068107851. The reversal of 38068107840 is 4870186083.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 369593229 + ... + 369593331.

It is an arithmetic number, because the mean of its divisors is an integer number (159856424).

Almost surely, 2^38068107840 is an apocalyptic number.

38068107840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38068107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80567637696).

38068107840 is an abundant number, since it is smaller than the sum of its proper divisors (123067167552).

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

38068107840 is a wasteful number, since it uses less digits than its factorization.

38068107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38068107840 in words is "thirty-eight billion, sixty-eight million, one hundred seven thousand, eight hundred forty".