1538965344 has 288 divisors, whose sum is σ = 5040040320. Its totient is φ = 408748032.

The previous prime is 1538965331. The next prime is 1538965349. The reversal of 1538965344 is 4435698351.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1538965293 and 1538965302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538965349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5988064 + ... + 5988320.

It is an arithmetic number, because the mean of its divisors is an integer number (17500140).

Almost surely, 2^1538965344 is an apocalyptic number.

1538965344 is a gapful number since it is divisible by the number (14) 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 1538965344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520020160).

1538965344 is an abundant number, since it is smaller than the sum of its proper divisors (3501074976).

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

1538965344 is a wasteful number, since it uses less digits than its factorization.

1538965344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The square root of 1538965344 is about 39229.6487876198. The cubic root of 1538965344 is about 1154.5416730636.

The spelling of 1538965344 in words is "one billion, five hundred thirty-eight million, nine hundred sixty-five thousand, three hundred forty-four".