38448432000 has 1536 divisors, whose sum is σ = 166808678400. Its totient is φ = 8709120000.

The previous prime is 38448431963. The next prime is 38448432019. The reversal of 38448432000 is 23484483.

38448432000 is a `hidden beast` number, since 3 + 8 + 448 + 4 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1240271985 + ... + 1240272015.

It is an arithmetic number, because the mean of its divisors is an integer number (108599400).

Almost surely, 2^38448432000 is an apocalyptic number.

38448432000 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 38448432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83404339200).

38448432000 is an abundant number, since it is smaller than the sum of its proper divisors (128360246400).

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

38448432000 is a wasteful number, since it uses less digits than its factorization.

38448432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 38448432000 in words is "thirty-eight billion, four hundred forty-eight million, four hundred thirty-two thousand".