1838770400 has 144 divisors (see below), whose sum is σ = 4612204800. Its totient is φ = 715599360.

The previous prime is 1838770399. The next prime is 1838770421. The reversal of 1838770400 is 40778381.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7693481 + ... + 7693719.

It is an arithmetic number, because the mean of its divisors is an integer number (32029200).

Almost surely, 2^1838770400 is an apocalyptic number.

1838770400 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 1838770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306102400).

1838770400 is an abundant number, since it is smaller than the sum of its proper divisors (2773434400).

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

1838770400 is a wasteful number, since it uses less digits than its factorization.

1838770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 1838770400 is about 42880.8861848726. The cubic root of 1838770400 is about 1225.1121152419.

The spelling of 1838770400 in words is "one billion, eight hundred thirty-eight million, seven hundred seventy thousand, four hundred".