1038402816 has 144 divisors (see below), whose sum is σ = 3047260608. Its totient is φ = 311296000.

The previous prime is 1038402787. The next prime is 1038402887. The reversal of 1038402816 is 6182048301.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 852640 + ... + 853856.

It is an arithmetic number, because the mean of its divisors is an integer number (21161532).

Almost surely, 2^1038402816 is an apocalyptic number.

1038402816 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 1038402816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523630304).

1038402816 is an abundant number, since it is smaller than the sum of its proper divisors (2008857792).

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

1038402816 is a wasteful number, since it uses less digits than its factorization.

1038402816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1038402816 is about 32224.2581916171. The cubic root of 1038402816 is about 1012.6404836011.

The spelling of 1038402816 in words is "one billion, thirty-eight million, four hundred two thousand, eight hundred sixteen".