1038686880 has 384 divisors, whose sum is σ = 4128122880. Its totient is φ = 213258240.

The previous prime is 1038686879. The next prime is 1038686911. The reversal of 1038686880 is 886868301.

It is a happy number.

1038686880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5802631 + ... + 5802809.

It is an arithmetic number, because the mean of its divisors is an integer number (10750320).

Almost surely, 2^1038686880 is an apocalyptic number.

1038686880 is a gapful number since it is divisible by the number (10) 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 1038686880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064061440).

1038686880 is an abundant number, since it is smaller than the sum of its proper divisors (3089436000).

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

1038686880 is a wasteful number, since it uses less digits than its factorization.

1038686880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 1038686880 is about 32228.6655013825. The cubic root of 1038686880 is about 1012.7328140134.

The spelling of 1038686880 in words is "one billion, thirty-eight million, six hundred eighty-six thousand, eight hundred eighty".