38983628160 has 320 divisors, whose sum is σ = 144023734800. Its totient is φ = 10036776960.

The previous prime is 38983628137. The next prime is 38983628191. The reversal of 38983628160 is 6182638983.

It is a happy number.

38983628160 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 3 + 628 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 38983628097 and 38983628106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1490395 + ... + 1516325.

Almost surely, 2^38983628160 is an apocalyptic number.

38983628160 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 38983628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72011867400).

38983628160 is an abundant number, since it is smaller than the sum of its proper divisors (105040106640).

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

38983628160 is a wasteful number, since it uses less digits than its factorization.

38983628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25991 (or 25970 counting only the distinct ones).

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

The spelling of 38983628160 in words is "thirty-eight billion, nine hundred eighty-three million, six hundred twenty-eight thousand, one hundred sixty".