38471985417600 has 768 divisors, whose sum is σ = 160951102041600. Its totient is φ = 8791383859200.

The previous prime is 38471985417517. The next prime is 38471985417653. The reversal of 38471985417600 is 671458917483.

38471985417600 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 1 + 9 + 8 + 5 + 4 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4433784462 + ... + 4433793138.

It is an arithmetic number, because the mean of its divisors is an integer number (209571747450).

Almost surely, 2^{38471985417600} is an apocalyptic number.

38471985417600 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 38471985417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80475551020800).

38471985417600 is an abundant number, since it is smaller than the sum of its proper divisors (122479116624000).

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

38471985417600 is a wasteful number, since it uses less digits than its factorization.

38471985417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16048 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 38471985417600 in words is "thirty-eight trillion, four hundred seventy-one billion, nine hundred eighty-five million, four hundred seventeen thousand, six hundred".