38427513600 has 432 divisors, whose sum is σ = 146063651328. Its totient is φ = 8715141120.

The previous prime is 38427513599. The next prime is 38427513653. The reversal of 38427513600 is 631572483.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18411757 + ... + 18413843.

It is an arithmetic number, because the mean of its divisors is an integer number (338110304).

Almost surely, 2^38427513600 is an apocalyptic number.

38427513600 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 38427513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73031825664).

38427513600 is an abundant number, since it is smaller than the sum of its proper divisors (107636137728).

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

38427513600 is a wasteful number, since it uses less digits than its factorization.

38427513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 38427513600 in words is "thirty-eight billion, four hundred twenty-seven million, five hundred thirteen thousand, six hundred".