38744865542124 has 576 divisors, whose sum is σ = 124035461222400. Its totient is φ = 10154069452800.

The previous prime is 38744865542111. The next prime is 38744865542233. The reversal of 38744865542124 is 42124556844783.

38744865542124 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 4 + 8 + 65 + 542 + 1 + 24 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1679946217 + ... + 1679969279.

It is an arithmetic number, because the mean of its divisors is an integer number (215339342400).

Almost surely, 2^{38744865542124} is an apocalyptic number.

38744865542124 is a gapful number since it is divisible by the number (34) 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 38744865542124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62017730611200).

38744865542124 is an abundant number, since it is smaller than the sum of its proper divisors (85290595680276).

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

38744865542124 is a wasteful number, since it uses less digits than its factorization.

38744865542124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23315 (or 23296 counting only the distinct ones).

The product of its digits is 206438400, while the sum is 63.

The spelling of 38744865542124 in words is "thirty-eight trillion, seven hundred forty-four billion, eight hundred sixty-five million, five hundred forty-two thousand, one hundred twenty-four".