38624868352 has 96 divisors (see below), whose sum is σ = 92909980800. Its totient is φ = 15682166784.

The previous prime is 38624868341. The next prime is 38624868367. The reversal of 38624868352 is 25386842683.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38624868293 and 38624868302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201483 + ... + 343285.

It is an arithmetic number, because the mean of its divisors is an integer number (967812300).

Almost surely, 2^38624868352 is an apocalyptic number.

38624868352 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 38624868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46454990400).

38624868352 is an abundant number, since it is smaller than the sum of its proper divisors (54285112448).

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

38624868352 is a wasteful number, since it uses less digits than its factorization.

38624868352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141851 (or 141831 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 55.

The spelling of 38624868352 in words is "thirty-eight billion, six hundred twenty-four million, eight hundred sixty-eight thousand, three hundred fifty-two".