38984924160 has 880 divisors, whose sum is σ = 172104816576. Its totient is φ = 8217427968.

The previous prime is 38984924159. The next prime is 38984924201. The reversal of 38984924160 is 6142948983.

38984924160 is a `hidden beast` number, since 3 + 8 + 98 + 492 + 4 + 1 + 60 = 666.

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 = 38984924097 and 38984924106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739004 + ... + 37740036.

Almost surely, 2^38984924160 is an apocalyptic number.

38984924160 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 38984924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86052408288).

38984924160 is an abundant number, since it is smaller than the sum of its proper divisors (133119892416).

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

38984924160 is a wasteful number, since it uses less digits than its factorization.

38984924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38984924160 in words is "thirty-eight billion, nine hundred eighty-four million, nine hundred twenty-four thousand, one hundred sixty".