1038786840 has 384 divisors, whose sum is σ = 4272428160. Its totient is φ = 213000192.

The previous prime is 1038786839. The next prime is 1038786857. The reversal of 1038786840 is 486878301.

1038786840 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1211692 + ... + 1212548.

It is an arithmetic number, because the mean of its divisors is an integer number (11126115).

Almost surely, 2^1038786840 is an apocalyptic number.

1038786840 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 1038786840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136214080).

1038786840 is an abundant number, since it is smaller than the sum of its proper divisors (3233641320).

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

1038786840 is a wasteful number, since it uses less digits than its factorization.

1038786840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1038786840 is about 32230.2162574191. The cubic root of 1038786840 is about 1012.7653003917.

The spelling of 1038786840 in words is "one billion, thirty-eight million, seven hundred eighty-six thousand, eight hundred forty".