38148804576 has 360 divisors, whose sum is σ = 120420470016. Its totient is φ = 11844403200.

The previous prime is 38148804511. The next prime is 38148804583. The reversal of 38148804576 is 67540884183.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95133976 + ... + 95134376.

Almost surely, 2^38148804576 is an apocalyptic number.

38148804576 is a gapful number since it is divisible by the number (36) 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 38148804576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60210235008).

38148804576 is an abundant number, since it is smaller than the sum of its proper divisors (82271665440).

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

38148804576 is a wasteful number, since it uses less digits than its factorization.

38148804576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

It can be divided in two parts, 38148 and 804576, that added together give a square (842724 = 918²).

The spelling of 38148804576 in words is "thirty-eight billion, one hundred forty-eight million, eight hundred four thousand, five hundred seventy-six".