38846057760 has 288 divisors, whose sum is σ = 138103842240. Its totient is φ = 10311349248.

The previous prime is 38846057693. The next prime is 38846057777. The reversal of 38846057760 is 6775064883.

38846057760 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 6 + 0 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 38846057697 and 38846057706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8901339 + ... + 8905701.

It is an arithmetic number, because the mean of its divisors is an integer number (479527230).

Almost surely, 2^38846057760 is an apocalyptic number.

38846057760 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 38846057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69051921120).

38846057760 is an abundant number, since it is smaller than the sum of its proper divisors (99257784480).

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

38846057760 is a wasteful number, since it uses less digits than its factorization.

38846057760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 38846057760 in words is "thirty-eight billion, eight hundred forty-six million, fifty-seven thousand, seven hundred sixty".