38944382400 has 1512 divisors, whose sum is σ = 181231511552. Its totient is φ = 7755264000.

The previous prime is 38944382383. The next prime is 38944382423. The reversal of 38944382400 is 428344983.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 378100749 + ... + 378100851.

Almost surely, 2^38944382400 is an apocalyptic number.

38944382400 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 38944382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90615755776).

38944382400 is an abundant number, since it is smaller than the sum of its proper divisors (142287129152).

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

38944382400 is a wasteful number, since it uses less digits than its factorization.

38944382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 38944382400 in words is "thirty-eight billion, nine hundred forty-four million, three hundred eighty-two thousand, four hundred".