38994400800 has 216 divisors, whose sum is σ = 137657228436. Its totient is φ = 10386923520.

The previous prime is 38994400799. The next prime is 38994400817. The reversal of 38994400800 is 800449983.

It is a happy number.

38994400800 is a `hidden beast` number, since 3 + 89 + 94 + 400 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8939324304 + 30055076496 = 94548^2 + 173364^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7895932 + ... + 7900868.

Almost surely, 2^38994400800 is an apocalyptic number.

38994400800 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 38994400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68828614218).

38994400800 is an abundant number, since it is smaller than the sum of its proper divisors (98662827636).

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

38994400800 is a wasteful number, since it uses less digits than its factorization.

38994400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 38994400800 in words is "thirty-eight billion, nine hundred ninety-four million, four hundred thousand, eight hundred".