38038623467520 has 3072 divisors, whose sum is σ = 152165744640000. Its totient is φ = 8016132833280.

The previous prime is 38038623467459. The next prime is 38038623467521. The reversal of 38038623467520 is 2576432683083.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38038623467521) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 427400263636 + ... + 427400263724.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120000).

Almost surely, 2^{38038623467520} is an apocalyptic number.

38038623467520 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 38038623467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76082872320000).

38038623467520 is an abundant number, since it is smaller than the sum of its proper divisors (114127121172480).

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

38038623467520 is a wasteful number, since it uses less digits than its factorization.

38038623467520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 38038623467520 in words is "thirty-eight trillion, thirty-eight billion, six hundred twenty-three million, four hundred sixty-seven thousand, five hundred twenty".