1038540800 has 168 divisors, whose sum is σ = 2815647912. Its totient is φ = 376832000.

The previous prime is 1038540791. The next prime is 1038540821. The reversal of 1038540800 is 80458301.

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 11 ways as a sum of consecutive naturals, for example, 2252570 + ... + 2253030.

It is an arithmetic number, because the mean of its divisors is an integer number (16759809).

Almost surely, 2^1038540800 is an apocalyptic number.

1038540800 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 1038540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407823956).

1038540800 is an abundant number, since it is smaller than the sum of its proper divisors (1777107112).

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

1038540800 is an equidigital number, since it uses as much as digits as its factorization.

1038540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1038540800 is about 32226.3991162525. The cubic root of 1038540800 is about 1012.6853351731.

The spelling of 1038540800 in words is "one billion, thirty-eight million, five hundred forty thousand, eight hundred".