1038085200 has 240 divisors, whose sum is σ = 3718839360. Its totient is φ = 275028480.

The previous prime is 1038085199. The next prime is 1038085207. The reversal of 1038085200 is 25808301.

It is a happy number.

1038085200 is a `hidden beast` number, since 1 + 0 + 380 + 85 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038085207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2991427 + ... + 2991773.

It is an arithmetic number, because the mean of its divisors is an integer number (15495164).

Almost surely, 2^1038085200 is an apocalyptic number.

1038085200 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 1038085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859419680).

1038085200 is an abundant number, since it is smaller than the sum of its proper divisors (2680754160).

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

1038085200 is a wasteful number, since it uses less digits than its factorization.

1038085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1038085200 is about 32219.3296019641. The cubic root of 1038085200 is about 1012.5372277121.

The spelling of 1038085200 in words is "one billion, thirty-eight million, eighty-five thousand, two hundred".