38675771063520 has 192 divisors, whose sum is σ = 128259607956480. Its totient is φ = 9769281619968.

The previous prime is 38675771063431. The next prime is 38675771063563. The reversal of 38675771063520 is 2536017757683.

It is a happy number.

38675771063520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62281602 + ... + 62899518.

It is an arithmetic number, because the mean of its divisors is an integer number (668018791440).

Almost surely, 2^{38675771063520} is an apocalyptic number.

38675771063520 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 38675771063520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64129803978240).

38675771063520 is an abundant number, since it is smaller than the sum of its proper divisors (89583836892960).

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

38675771063520 is a wasteful number, since it uses less digits than its factorization.

38675771063520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624817 (or 624809 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 38675771063520 in words is "thirty-eight trillion, six hundred seventy-five billion, seven hundred seventy-one million, sixty-three thousand, five hundred twenty".