1349436816 has 480 divisors, whose sum is σ = 4972181760. Its totient is φ = 332107776.

The previous prime is 1349436811. The next prime is 1349436817. The reversal of 1349436816 is 6186349431.

1349436816 is a `hidden beast` number, since 134 + 9 + 436 + 81 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1349436811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20140815 + ... + 20140881.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2^1349436816 is an apocalyptic number.

1349436816 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 1349436816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880).

1349436816 is an abundant number, since it is smaller than the sum of its proper divisors (3622744944).

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

1349436816 is a wasteful number, since it uses less digits than its factorization.

1349436816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 174 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1349436816 is about 36734.6813787734. The cubic root of 1349436816 is about 1105.0557402456.

The spelling of 1349436816 in words is "one billion, three hundred forty-nine million, four hundred thirty-six thousand, eight hundred sixteen".