38198057760 has 240 divisors, whose sum is σ = 140669597376. Its totient is φ = 9743196672.

The previous prime is 38198057759. The next prime is 38198057791. The reversal of 38198057760 is 6775089183.

38198057760 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 8 + 0 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 38198057697 and 38198057706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234007 + ... + 362153.

Almost surely, 2^38198057760 is an apocalyptic number.

38198057760 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 38198057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70334798688).

38198057760 is an abundant number, since it is smaller than the sum of its proper divisors (102471539616).

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

38198057760 is a wasteful number, since it uses less digits than its factorization.

38198057760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128197 (or 128180 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 38198057760 in words is "thirty-eight billion, one hundred ninety-eight million, fifty-seven thousand, seven hundred sixty".