1838382720 has 256 divisors, whose sum is σ = 6262375680. Its totient is φ = 457113600.

The previous prime is 1838382719. The next prime is 1838382727. The reversal of 1838382720 is 272838381.

1838382720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1838382727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4928454 + ... + 4928826.

It is an arithmetic number, because the mean of its divisors is an integer number (24462405).

Almost surely, 2^1838382720 is an apocalyptic number.

1838382720 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 1838382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131187840).

1838382720 is an abundant number, since it is smaller than the sum of its proper divisors (4423992960).

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

1838382720 is a wasteful number, since it uses less digits than its factorization.

1838382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1838382720 is about 42876.3655176135. The cubic root of 1838382720 is about 1225.0260097212.

The spelling of 1838382720 in words is "one billion, eight hundred thirty-eight million, three hundred eighty-two thousand, seven hundred twenty".