38198983680 has 1584 divisors, whose sum is σ = 171243700992. Its totient is φ = 7785676800.

The previous prime is 38198983661. The next prime is 38198983747. The reversal of 38198983680 is 8638989183.

38198983680 is a `hidden beast` number, since 381 + 98 + 98 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

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, 1232225265 + ... + 1232225295.

Almost surely, 2^38198983680 is an apocalyptic number.

38198983680 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 38198983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85621850496).

38198983680 is an abundant number, since it is smaller than the sum of its proper divisors (133044717312).

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

38198983680 is a wasteful number, since it uses less digits than its factorization.

38198983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 38198983680 in words is "thirty-eight billion, one hundred ninety-eight million, nine hundred eighty-three thousand, six hundred eighty".