1838903040 has 288 divisors, whose sum is σ = 7029234240. Its totient is φ = 452542464.

The previous prime is 1838903009. The next prime is 1838903047. The reversal of 1838903040 is 403098381.

1838903040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1838902986 and 1838903004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838903047) 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, 447234 + ... + 451326.

Almost surely, 2^1838903040 is an apocalyptic number.

1838903040 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 1838903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514617120).

1838903040 is an abundant number, since it is smaller than the sum of its proper divisors (5190331200).

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

1838903040 is a wasteful number, since it uses less digits than its factorization.

1838903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1838903040 is about 42882.4327668102. The cubic root of 1838903040 is about 1225.1415724204.

The spelling of 1838903040 in words is "one billion, eight hundred thirty-eight million, nine hundred three thousand, forty".