1800038880 has 432 divisors, whose sum is σ = 6847953840. Its totient is φ = 429023232.

The previous prime is 1800038861. The next prime is 1800038917. The reversal of 1800038880 is 888300081.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12949851 + ... + 12949989.

It is an arithmetic number, because the mean of its divisors is an integer number (15851745).

Almost surely, 2^1800038880 is an apocalyptic number.

1800038880 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 1800038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423976920).

1800038880 is an abundant number, since it is smaller than the sum of its proper divisors (5047914960).

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

1800038880 is a wasteful number, since it uses less digits than its factorization.

1800038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1800038880 is about 42426.8650739128. The cubic root of 1800038880 is about 1216.4491574225.

The spelling of 1800038880 in words is "one billion, eight hundred million, thirty-eight thousand, eight hundred eighty".