1349838336 has 320 divisors, whose sum is σ = 4567850496. Its totient is φ = 344064000.

The previous prime is 1349838331. The next prime is 1349838341. The reversal of 1349838336 is 6338389431.

It is an interprime number because it is at equal distance from previous prime (1349838331) and next prime (1349838341).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349838331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11945416 + ... + 11945528.

Almost surely, 2^1349838336 is an apocalyptic number.

1349838336 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 1349838336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283925248).

1349838336 is an abundant number, since it is smaller than the sum of its proper divisors (3218012160).

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

1349838336 is a wasteful number, since it uses less digits than its factorization.

1349838336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 1349838336 is about 36740.1461074939. The cubic root of 1349838336 is about 1105.1653311445.

The spelling of 1349838336 in words is "one billion, three hundred forty-nine million, eight hundred thirty-eight thousand, three hundred thirty-six".