38924362743840 has 2304 divisors, whose sum is σ = 168469217280000. Its totient is φ = 7993160663040.

The previous prime is 38924362743823. The next prime is 38924362743841. The reversal of 38924362743840 is 4834726342983.

38924362743840 is a `hidden beast` number, since 3 + 8 + 9 + 243 + 6 + 2 + 7 + 4 + 384 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38924362743841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25128703386 + ... + 25128704934.

It is an arithmetic number, because the mean of its divisors is an integer number (73120320000).

Almost surely, 2^{38924362743840} is an apocalyptic number.

38924362743840 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 38924362743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84234608640000).

38924362743840 is an abundant number, since it is smaller than the sum of its proper divisors (129544854536160).

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

38924362743840 is a wasteful number, since it uses less digits than its factorization.

38924362743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 38924362743840 in words is "thirty-eight trillion, nine hundred twenty-four billion, three hundred sixty-two million, seven hundred forty-three thousand, eight hundred forty".