1938066336 has 72 divisors (see below), whose sum is σ = 5521039524. Its totient is φ = 644889600.

The previous prime is 1938066331. The next prime is 1938066341. The reversal of 1938066336 is 6336608391.

1938066336 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 0 + 6 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1938066331) and next prime (1938066341).

It can be written as a sum of positive squares in 2 ways, for example, as 1934240400 + 3825936 = 43980^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1938066336² = 7512202245472929792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1938066291 and 1938066300.

It is not an unprimeable number, because it can be changed into a prime (1938066331) 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 11 ways as a sum of consecutive naturals, for example, 167490 + ... + 178686.

Almost surely, 2^1938066336 is an apocalyptic number.

1938066336 is a gapful number since it is divisible by the number (16) 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 1938066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760519762).

1938066336 is an abundant number, since it is smaller than the sum of its proper divisors (3582973188).

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

1938066336 is a wasteful number, since it uses less digits than its factorization.

1938066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814 (or 11803 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 1938066336 is about 44023.4748287774. The cubic root of 1938066336 is about 1246.7791932643.

The spelling of 1938066336 in words is "one billion, nine hundred thirty-eight million, sixty-six thousand, three hundred thirty-six".