38746285572544 has 112 divisors (see below), whose sum is σ = 84533463648000. Its totient is φ = 17474526003200.

The previous prime is 38746285572539. The next prime is 38746285572571. The reversal of 38746285572544 is 44527558264783.

It is a super-3 number, since 3×38746285572544³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 56238789 + ... + 56923579.

Almost surely, 2^{38746285572544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38746285572544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42266731824000).

38746285572544 is an abundant number, since it is smaller than the sum of its proper divisors (45787178075456).

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

38746285572544 is a wasteful number, since it uses less digits than its factorization.

38746285572544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685442 (or 685432 counting only the distinct ones).

The product of its digits is 1806336000, while the sum is 70.

The spelling of 38746285572544 in words is "thirty-eight trillion, seven hundred forty-six billion, two hundred eighty-five million, five hundred seventy-two thousand, five hundred forty-four".