1924034112 has 672 divisors, whose sum is σ = 7668670464. Its totient is φ = 445132800.

The previous prime is 1924034093. The next prime is 1924034113. The reversal of 1924034112 is 2114304291.

It is a happy number.

1924034112 is a `hidden beast` number, since 1 + 9 + 240 + 3 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1924034113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27099037 + ... + 27099107.

It is an arithmetic number, because the mean of its divisors is an integer number (11411712).

Almost surely, 2^1924034112 is an apocalyptic number.

1924034112 is a gapful number since it is divisible by the number (12) 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 1924034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834335232).

1924034112 is an abundant number, since it is smaller than the sum of its proper divisors (5744636352).

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

1924034112 is a wasteful number, since it uses less digits than its factorization.

1924034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1924034112 is about 43863.8132405289. The cubic root of 1924034112 is about 1243.7628742655.

It can be divided in two parts, 192 and 4034112, that added together give a palindrome (4034304).

The spelling of 1924034112 in words is "one billion, nine hundred twenty-four million, thirty-four thousand, one hundred twelve".