38817493920 has 240 divisors, whose sum is σ = 137196619560. Its totient is φ = 10335983616.

The previous prime is 38817493901. The next prime is 38817493933. The reversal of 38817493920 is 2939471883.

38817493920 is a `hidden beast` number, since 3 + 88 + 174 + 9 + 392 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18586414224 + 20231079696 = 136332^2 + 142236^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10742034 + ... + 10745646.

Almost surely, 2^38817493920 is an apocalyptic number.

38817493920 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 38817493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68598309780).

38817493920 is an abundant number, since it is smaller than the sum of its proper divisors (98379125640).

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

38817493920 is a wasteful number, since it uses less digits than its factorization.

38817493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38817493920 in words is "thirty-eight billion, eight hundred seventeen million, four hundred ninety-three thousand, nine hundred twenty".