38976000000 has 728 divisors, whose sum is σ = 153579284160. Its totient is φ = 8601600000.

The previous prime is 38975999947. The next prime is 38976000067. The reversal of 38976000000 is 67983.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1343999986 + ... + 1344000014.

Almost surely, 2^38976000000 is an apocalyptic number.

38976000000 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 38976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76789642080).

38976000000 is an abundant number, since it is smaller than the sum of its proper divisors (114603284160).

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

38976000000 is an frugal number, since it uses more digits than its factorization.

38976000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

Adding to 38976000000 its reverse (67983), we get a palindrome (38976067983).

The spelling of 38976000000 in words is "thirty-eight billion, nine hundred seventy-six million", and thus it is an aban number.