38548800576 has 504 divisors, whose sum is σ = 134408094912. Its totient is φ = 10413619200.

The previous prime is 38548800539. The next prime is 38548800673. The reversal of 38548800576 is 67500884583.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79155405 + ... + 79155891.

It is an arithmetic number, because the mean of its divisors is an integer number (266682728).

Almost surely, 2^38548800576 is an apocalyptic number.

38548800576 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 38548800576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67204047456).

38548800576 is an abundant number, since it is smaller than the sum of its proper divisors (95859294336).

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

38548800576 is a wasteful number, since it uses less digits than its factorization.

38548800576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 38548800576 in words is "thirty-eight billion, five hundred forty-eight million, eight hundred thousand, five hundred seventy-six".