38424024317952 has 1296 divisors, whose sum is σ = 142154503388352. Its totient is φ = 10113169489920.

The previous prime is 38424024317933. The next prime is 38424024317981. The reversal of 38424024317952 is 25971342042483.

38424024317952 is a `hidden beast` number, since 3 + 8 + 424 + 0 + 2 + 43 + 179 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78256668427 + ... + 78256668917.

It is an arithmetic number, because the mean of its divisors is an integer number (109687116812).

Almost surely, 2^{38424024317952} is an apocalyptic number.

38424024317952 is a gapful number since it is divisible by the number (32) 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 38424024317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71077251694176).

38424024317952 is an abundant number, since it is smaller than the sum of its proper divisors (103730479070400).

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

38424024317952 is an frugal number, since it uses more digits than its factorization.

38424024317952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 38424024317952 in words is "thirty-eight trillion, four hundred twenty-four billion, twenty-four million, three hundred seventeen thousand, nine hundred fifty-two".