38841722400 has 576 divisors, whose sum is σ = 146449876608. Its totient is φ = 8856207360.

The previous prime is 38841722399. The next prime is 38841722407. The reversal of 38841722400 is 422714883.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (38841722407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 35536254 + ... + 35537346.

It is an arithmetic number, because the mean of its divisors is an integer number (254253258).

Almost surely, 2^38841722400 is an apocalyptic number.

38841722400 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 38841722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73224938304).

38841722400 is an abundant number, since it is smaller than the sum of its proper divisors (107608154208).

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

38841722400 is a wasteful number, since it uses less digits than its factorization.

38841722400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

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

The spelling of 38841722400 in words is "thirty-eight billion, eight hundred forty-one million, seven hundred twenty-two thousand, four hundred".