38438704800 has 216 divisors, whose sum is σ = 137403135324. Its totient is φ = 10109767680.

The previous prime is 38438704783. The next prime is 38438704817. The reversal of 38438704800 is 840783483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38438704783) and next prime (38438704817).

It can be written as a sum of positive squares in 6 ways, for example, as 20539475856 + 17899228944 = 143316^2 + 133788^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489034 + ... + 562166.

Almost surely, 2^38438704800 is an apocalyptic number.

38438704800 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 38438704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68701567662).

38438704800 is an abundant number, since it is smaller than the sum of its proper divisors (98964430524).

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

38438704800 is a wasteful number, since it uses less digits than its factorization.

38438704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73232 (or 73216 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38438704800 in words is "thirty-eight billion, four hundred thirty-eight million, seven hundred four thousand, eight hundred".