38385149760544 has 96 divisors (see below), whose sum is σ = 77623977062016. Its totient is φ = 18674567331840.

The previous prime is 38385149760539. The next prime is 38385149760563. The reversal of 38385149760544 is 44506794158383.

It is a super-2 number, since 2×38385149760544² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38385149760544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2618888064 + ... + 2618902720.

It is an arithmetic number, because the mean of its divisors is an integer number (808583094396).

Almost surely, 2^{38385149760544} 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 38385149760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811988531008).

38385149760544 is an abundant number, since it is smaller than the sum of its proper divisors (39238827301472).

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

38385149760544 is a wasteful number, since it uses less digits than its factorization.

38385149760544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21858 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 67.

The spelling of 38385149760544 in words is "thirty-eight trillion, three hundred eighty-five billion, one hundred forty-nine million, seven hundred sixty thousand, five hundred forty-four".