1038345664 has 56 divisors (see below), whose sum is σ = 2137867200. Its totient is φ = 499998720.

The previous prime is 1038345653. The next prime is 1038345673. The reversal of 1038345664 is 4665438301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 204792 + ... + 209800.

It is an arithmetic number, because the mean of its divisors is an integer number (38176200).

Almost surely, 2^1038345664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068933600).

1038345664 is an abundant number, since it is smaller than the sum of its proper divisors (1099521536).

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

1038345664 is an equidigital number, since it uses as much as digits as its factorization.

1038345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 1038345664 is about 32223.3713940674. The cubic root of 1038345664 is about 1012.6219052326.

The spelling of 1038345664 in words is "one billion, thirty-eight million, three hundred forty-five thousand, six hundred sixty-four".