1038852864 has 360 divisors, whose sum is σ = 3757346208. Its totient is φ = 278691840.

The previous prime is 1038852851. The next prime is 1038852869. The reversal of 1038852864 is 4682588301.

1038852864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1038852869) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2467374 + ... + 2467794.

Almost surely, 2^1038852864 is an apocalyptic number.

1038852864 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 1038852864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878673104).

1038852864 is an abundant number, since it is smaller than the sum of its proper divisors (2718493344).

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

1038852864 is an equidigital number, since it uses as much as digits as its factorization.

1038852864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1038852864 is about 32231.2404973808. The cubic root of 1038852864 is about 1012.7867566382.

The spelling of 1038852864 in words is "one billion, thirty-eight million, eight hundred fifty-two thousand, eight hundred sixty-four".