38482948183680 has 6912 divisors, whose sum is σ = 199233861765120. Its totient is φ = 6647994777600.

The previous prime is 38482948183679. The next prime is 38482948183741. The reversal of 38482948183680 is 8638184928483.

38482948183680 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 2 + 9 + 481 + 83 + 68 + 0 = 666.

It is a super-2 number, since 2×38482948183680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38482948183599 and 38482948183608.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1040079680622 + ... + 1040079680658.

Almost surely, 2^{38482948183680} is an apocalyptic number.

38482948183680 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 38482948183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99616930882560).

38482948183680 is an abundant number, since it is smaller than the sum of its proper divisors (160750913581440).

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

38482948183680 is a wasteful number, since it uses less digits than its factorization.

38482948183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 509607936, while the sum is 72.

The spelling of 38482948183680 in words is "thirty-eight trillion, four hundred eighty-two billion, nine hundred forty-eight million, one hundred eighty-three thousand, six hundred eighty".