4034189120 has 56 divisors (see below), whose sum is σ = 10345378344. Its totient is φ = 1489545216.

The previous prime is 4034189113. The next prime is 4034189141. The reversal of 4034189120 is 219814304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 706283776 + 3327905344 = 26576^2 + 57688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480719 + ... + 489038.

It is an arithmetic number, because the mean of its divisors is an integer number (184738899).

Almost surely, 2^4034189120 is an apocalyptic number.

4034189120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034189120 is an abundant number, since it is smaller than the sum of its proper divisors (6311189224).

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

4034189120 is a wasteful number, since it uses less digits than its factorization.

4034189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969787 (or 969777 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 4034189120 is about 63515.2668261734. The cubic root of 4034189120 is about 1591.9108811000.

The spelling of 4034189120 in words is "four billion, thirty-four million, one hundred eighty-nine thousand, one hundred twenty".