1038401200384 has 72 divisors (see below), whose sum is σ = 2195226652248. Its totient is φ = 488535982080.

The previous prime is 1038401200381. The next prime is 1038401200411. The reversal of 1038401200384 is 4830021048301.

It can be written as a sum of positive squares in 4 ways, for example, as 526890160384 + 511511040000 = 725872^2 + 715200^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1038401200381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18515874 + ... + 18571870.

It is an arithmetic number, because the mean of its divisors is an integer number (30489259059).

Almost surely, 2^{1038401200384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038401200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097613326124).

1038401200384 is an abundant number, since it is smaller than the sum of its proper divisors (1156825451864).

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

1038401200384 is an equidigital number, since it uses as much as digits as its factorization.

1038401200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60291 (or 60277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

Adding to 1038401200384 its reverse (4830021048301), we get a palindrome (5868422248685).

The spelling of 1038401200384 in words is "one trillion, thirty-eight billion, four hundred one million, two hundred thousand, three hundred eighty-four".