1838318400 has 252 divisors, whose sum is σ = 6878726400. Its totient is φ = 464348160.

The previous prime is 1838318399. The next prime is 1838318411. The reversal of 1838318400 is 48138381.

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 35 ways as a sum of consecutive naturals, for example, 270241 + ... + 276959.

Almost surely, 2^1838318400 is an apocalyptic number.

1838318400 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 1838318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439363200).

1838318400 is an abundant number, since it is smaller than the sum of its proper divisors (5040408000).

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

1838318400 is a wasteful number, since it uses less digits than its factorization.

1838318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6766 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1838318400 is about 42875.6154474778. The cubic root of 1838318400 is about 1225.0117227811.

The spelling of 1838318400 in words is "one billion, eight hundred thirty-eight million, three hundred eighteen thousand, four hundred".