1938160224 has 672 divisors, whose sum is σ = 7773905664. Its totient is φ = 459095040.

The previous prime is 1938160193. The next prime is 1938160247. The reversal of 1938160224 is 4220618391.

1938160224 is a `hidden beast` number, since 19 + 38 + 1 + 602 + 2 + 4 = 666.

1938160224 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 (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23351287 + ... + 23351369.

It is an arithmetic number, because the mean of its divisors is an integer number (11568312).

Almost surely, 2^1938160224 is an apocalyptic number.

1938160224 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 1938160224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886952832).

1938160224 is an abundant number, since it is smaller than the sum of its proper divisors (5835745440).

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

1938160224 is a wasteful number, since it uses less digits than its factorization.

1938160224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

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

The square root of 1938160224 is about 44024.5411560416. The cubic root of 1938160224 is about 1246.7993259970.

The spelling of 1938160224 in words is "one billion, nine hundred thirty-eight million, one hundred sixty thousand, two hundred twenty-four".