38381332500 has 540 divisors, whose sum is σ = 145708058496. Its totient is φ = 8482320000.

The previous prime is 38381332499. The next prime is 38381332571. The reversal of 38381332500 is 523318383.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 179 ways as a sum of consecutive naturals, for example, 34176939 + ... + 34178061.

Almost surely, 2^38381332500 is an apocalyptic number.

38381332500 is a gapful number since it is divisible by the number (30) 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 38381332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72854029248).

38381332500 is an abundant number, since it is smaller than the sum of its proper divisors (107326725996).

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

38381332500 is a wasteful number, since it uses less digits than its factorization.

38381332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

It can be divided in two parts, 38381 and 332500, that added together give a square (370881 = 609²).

The spelling of 38381332500 in words is "thirty-eight billion, three hundred eighty-one million, three hundred thirty-two thousand, five hundred".