1036338816 has 32 divisors (see below), whose sum is σ = 2752776000. Its totient is φ = 345446144.

The previous prime is 1036338811. The next prime is 1036338857. The reversal of 1036338816 is 6188336301.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1036338816³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1036338811) 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 3 ways as a sum of consecutive naturals, for example, 1349016 + ... + 1349783.

It is an arithmetic number, because the mean of its divisors is an integer number (86024250).

Almost surely, 2^1036338816 is an apocalyptic number.

1036338816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1036338816 is an abundant number, since it is smaller than the sum of its proper divisors (1716437184).

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

1036338816 is an equidigital number, since it uses as much as digits as its factorization.

1036338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698816 (or 2698804 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1036338816 is about 32192.2166990718. The cubic root of 1036338816 is about 1011.9691075678.

The spelling of 1036338816 in words is "one billion, thirty-six million, three hundred thirty-eight thousand, eight hundred sixteen".