3384428544 has 288 divisors, whose sum is σ = 11836056960. Its totient is φ = 909508608.

The previous prime is 3384428519. The next prime is 3384428549. The reversal of 3384428544 is 4458244833.

It is a happy number.

3384428544 is a `hidden beast` number, since 3 + 3 + 84 + 4 + 28 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3384428544² = 22908713138883919872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384428544.

It is not an unprimeable number, because it can be changed into a prime (3384428549) 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 23 ways as a sum of consecutive naturals, for example, 2192637 + ... + 2194179.

It is an arithmetic number, because the mean of its divisors is an integer number (41097420).

Almost surely, 2^3384428544 is an apocalyptic number.

3384428544 is a gapful number since it is divisible by the number (34) 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 3384428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918028480).

3384428544 is an abundant number, since it is smaller than the sum of its proper divisors (8451628416).

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

3384428544 is a wasteful number, since it uses less digits than its factorization.

3384428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1572 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 3384428544 is about 58175.8415839427. The cubic root of 3384428544 is about 1501.3955226085.

The spelling of 3384428544 in words is "three billion, three hundred eighty-four million, four hundred twenty-eight thousand, five hundred forty-four".