1838920000 has 140 divisors (see below), whose sum is σ = 4710192256. Its totient is φ = 711360000.

The previous prime is 1838919977. The next prime is 1838920007. The reversal of 1838920000 is 298381.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838920007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1239259 + ... + 1240741.

Almost surely, 2^1838920000 is an apocalyptic number.

1838920000 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 1838920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355096128).

1838920000 is an abundant number, since it is smaller than the sum of its proper divisors (2871272256).

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

1838920000 is an equidigital number, since it uses as much as digits as its factorization.

1838920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1838920000 is about 42882.6305163291. The cubic root of 1838920000 is about 1225.1453388574.

The spelling of 1838920000 in words is "one billion, eight hundred thirty-eight million, nine hundred twenty thousand".