38078964576 has 144 divisors (see below), whose sum is σ = 115635461760. Its totient is φ = 11859886080.

The previous prime is 38078964563. The next prime is 38078964641. The reversal of 38078964576 is 67546987083.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 185376 + ... + 332448.

It is an arithmetic number, because the mean of its divisors is an integer number (803024040).

Almost surely, 2^38078964576 is an apocalyptic number.

38078964576 is a gapful number since it is divisible by the number (36) 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 38078964576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57817730880).

38078964576 is an abundant number, since it is smaller than the sum of its proper divisors (77556497184).

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

38078964576 is a wasteful number, since it uses less digits than its factorization.

38078964576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147149 (or 147138 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 38078964576 in words is "thirty-eight billion, seventy-eight million, nine hundred sixty-four thousand, five hundred seventy-six".