38271248400 has 720 divisors, whose sum is σ = 158302439424. Its totient is φ = 7678080000.

The previous prime is 38271248387. The next prime is 38271248423. The reversal of 38271248400 is 484217283.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88796185 + ... + 88796615.

Almost surely, 2^38271248400 is an apocalyptic number.

38271248400 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 38271248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79151219712).

38271248400 is an abundant number, since it is smaller than the sum of its proper divisors (120031191024).

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

38271248400 is a wasteful number, since it uses less digits than its factorization.

38271248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 38271248400 in words is "thirty-eight billion, two hundred seventy-one million, two hundred forty-eight thousand, four hundred".