1538379216 has 300 divisors, whose sum is σ = 5100399744. Its totient is φ = 443491200.

The previous prime is 1538379209. The next prime is 1538379217. The reversal of 1538379216 is 6129738351.

It is a super-2 number, since 2×1538379216² = 4733221224441549312, which contains 22 as substring.

Its product of digits (272160) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538379217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26074195 + ... + 26074253.

Almost surely, 2^1538379216 is an apocalyptic number.

1538379216 is a gapful number since it is divisible by the number (16) 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 1538379216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550199872).

1538379216 is an abundant number, since it is smaller than the sum of its proper divisors (3562020528).

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

1538379216 is a wasteful number, since it uses less digits than its factorization.

1538379216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 106 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1538379216 is about 39222.1776040036. The cubic root of 1538379216 is about 1154.3950821234.

The spelling of 1538379216 in words is "one billion, five hundred thirty-eight million, three hundred seventy-nine thousand, two hundred sixteen".