38004467712 has 192 divisors, whose sum is σ = 106302792960. Its totient is φ = 12060131328.

The previous prime is 38004467671. The next prime is 38004467719. The reversal of 38004467712 is 21776440083.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (38004467719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10682638 + ... + 10686194.

It is an arithmetic number, because the mean of its divisors is an integer number (553660380).

Almost surely, 2^38004467712 is an apocalyptic number.

38004467712 is a gapful number since it is divisible by the number (32) 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 38004467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53151396480).

38004467712 is an abundant number, since it is smaller than the sum of its proper divisors (68298325248).

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

38004467712 is a wasteful number, since it uses less digits than its factorization.

38004467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 38004467712 in words is "thirty-eight billion, four million, four hundred sixty-seven thousand, seven hundred twelve".