1349816384 has 112 divisors (see below), whose sum is σ = 3200741376. Its totient is φ = 552614400.

The previous prime is 1349816381. The next prime is 1349816393. The reversal of 1349816384 is 4836189431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1349816384³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1349816381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152119 + ... + 1153289.

It is an arithmetic number, because the mean of its divisors is an integer number (28578048).

Almost surely, 2^1349816384 is an apocalyptic number.

1349816384 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 1349816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600370688).

1349816384 is an abundant number, since it is smaller than the sum of its proper divisors (1850924992).

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

1349816384 is a wasteful number, since it uses less digits than its factorization.

1349816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 1349816384 is about 36739.8473595087. The cubic root of 1349816384 is about 1105.1593401256.

The spelling of 1349816384 in words is "one billion, three hundred forty-nine million, eight hundred sixteen thousand, three hundred eighty-four".