1538738400 has 144 divisors (see below), whose sum is σ = 5103517104. Its totient is φ = 402554880.

The previous prime is 1538738303. The next prime is 1538738401. The reversal of 1538738400 is 48378351.

1538738400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538738401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121152 + ... + 133248.

It is an arithmetic number, because the mean of its divisors is an integer number (35441091).

Almost surely, 2^1538738400 is an apocalyptic number.

1538738400 is a gapful number since it is divisible by the number (10) 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 1538738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551758552).

1538738400 is an abundant number, since it is smaller than the sum of its proper divisors (3564778704).

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

1538738400 is a wasteful number, since it uses less digits than its factorization.

1538738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12173 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 1538738400 is about 39226.7561748356. The cubic root of 1538738400 is about 1154.4849186589.

The spelling of 1538738400 in words is "one billion, five hundred thirty-eight million, seven hundred thirty-eight thousand, four hundred".