3814889472 has 144 divisors (see below), whose sum is σ = 11104821000. Its totient is φ = 1261633536.

The previous prime is 3814889453. The next prime is 3814889473. The reversal of 3814889472 is 2749884183.

It is a happy number.

3814889472 is a `hidden beast` number, since 3 + 8 + 1 + 488 + 94 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3814889473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2561304 + ... + 2562792.

Almost surely, 2^3814889472 is an apocalyptic number.

3814889472 is a gapful number since it is divisible by the number (32) 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 3814889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552410500).

3814889472 is an abundant number, since it is smaller than the sum of its proper divisors (7289931528).

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

3814889472 is a wasteful number, since it uses less digits than its factorization.

3814889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1633 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3814889472 is about 61764.7915239742. The cubic root of 3814889472 is about 1562.5262421363.

The spelling of 3814889472 in words is "three billion, eight hundred fourteen million, eight hundred eighty-nine thousand, four hundred seventy-two".