38248581320352 has 768 divisors, whose sum is σ = 129533528678400. Its totient is φ = 10874416250880.

The previous prime is 38248581320317. The next prime is 38248581320423. The reversal of 38248581320352 is 25302318584283.

38248581320352 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 8 + 581 + 3 + 2 + 0 + 3 + 52 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10893926277 + ... + 10893929787.

It is an arithmetic number, because the mean of its divisors is an integer number (168663448800).

Almost surely, 2^{38248581320352} is an apocalyptic number.

38248581320352 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 38248581320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64766764339200).

38248581320352 is an abundant number, since it is smaller than the sum of its proper divisors (91284947358048).

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

38248581320352 is a wasteful number, since it uses less digits than its factorization.

38248581320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 38248581320352 in words is "thirty-eight trillion, two hundred forty-eight billion, five hundred eighty-one million, three hundred twenty thousand, three hundred fifty-two".