38871122400 has 720 divisors, whose sum is σ = 161433917568. Its totient is φ = 9009792000.

The previous prime is 38871122383. The next prime is 38871122441. The reversal of 38871122400 is 422117883.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 16393215 + ... + 16395585.

Almost surely, 2^38871122400 is an apocalyptic number.

38871122400 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 38871122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80716958784).

38871122400 is an abundant number, since it is smaller than the sum of its proper divisors (122562795168).

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

38871122400 is a wasteful number, since it uses less digits than its factorization.

38871122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 38871122400 in words is "thirty-eight billion, eight hundred seventy-one million, one hundred twenty-two thousand, four hundred".