1938435840 has 288 divisors, whose sum is σ = 7505568000. Its totient is φ = 469831680.

The previous prime is 1938435839. The next prime is 1938435847. The reversal of 1938435840 is 485348391.

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938435847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377611 + ... + 382709.

It is an arithmetic number, because the mean of its divisors is an integer number (26061000).

Almost surely, 2^1938435840 is an apocalyptic number.

1938435840 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 1938435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752784000).

1938435840 is an abundant number, since it is smaller than the sum of its proper divisors (5567132160).

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

1938435840 is a wasteful number, since it uses less digits than its factorization.

1938435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1938435840 is about 44027.6712988548. The cubic root of 1938435840 is about 1246.8584235458.

The spelling of 1938435840 in words is "one billion, nine hundred thirty-eight million, four hundred thirty-five thousand, eight hundred forty".