1938553344 has 640 divisors, whose sum is σ = 7479521280. Its totient is φ = 481738752.

The previous prime is 1938553319. The next prime is 1938553373. The reversal of 1938553344 is 4433558391.

1938553344 is a `hidden beast` number, since 1 + 93 + 8 + 553 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1938553344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28933599 + ... + 28933665.

It is an arithmetic number, because the mean of its divisors is an integer number (11686752).

Almost surely, 2^1938553344 is an apocalyptic number.

1938553344 is a gapful number since it is divisible by the number (14) 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 1938553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739760640).

1938553344 is an abundant number, since it is smaller than the sum of its proper divisors (5540967936).

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

1938553344 is a wasteful number, since it uses less digits than its factorization.

1938553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1938553344 is about 44029.0057121439. The cubic root of 1938553344 is about 1246.8836170358.

The spelling of 1938553344 in words is "one billion, nine hundred thirty-eight million, five hundred fifty-three thousand, three hundred forty-four".