38924736840 has 768 divisors, whose sum is σ = 153177696000. Its totient is φ = 8758886400.

The previous prime is 38924736811. The next prime is 38924736847. The reversal of 38924736840 is 4863742983.

38924736840 is a `hidden beast` number, since 3 + 8 + 92 + 473 + 6 + 84 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38924736847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151457992 + ... + 151458248.

It is an arithmetic number, because the mean of its divisors is an integer number (199450125).

Almost surely, 2^38924736840 is an apocalyptic number.

38924736840 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 38924736840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76588848000).

38924736840 is an abundant number, since it is smaller than the sum of its proper divisors (114252959160).

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

38924736840 is a wasteful number, since it uses less digits than its factorization.

38924736840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 38924736840 in words is "thirty-eight billion, nine hundred twenty-four million, seven hundred thirty-six thousand, eight hundred forty".