1938345120 has 192 divisors, whose sum is σ = 6839562240. Its totient is φ = 512676864.

The previous prime is 1938345053. The next prime is 1938345137. The reversal of 1938345120 is 215438391.

1938345120 is a `hidden beast` number, since 193 + 8 + 345 + 120 = 666.

It is a super-3 number, since 3×1938345120³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

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, 546874 + ... + 550406.

It is an arithmetic number, because the mean of its divisors is an integer number (35622720).

Almost surely, 2^1938345120 is an apocalyptic number.

1938345120 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 1938345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419781120).

1938345120 is an abundant number, since it is smaller than the sum of its proper divisors (4901217120).

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

1938345120 is a wasteful number, since it uses less digits than its factorization.

1938345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1938345120 is about 44026.6410256336. The cubic root of 1938345120 is about 1246.8389719931.

The spelling of 1938345120 in words is "one billion, nine hundred thirty-eight million, three hundred forty-five thousand, one hundred twenty".