3302004420 has 384 divisors, whose sum is σ = 12284213760. Its totient is φ = 725760000.

The previous prime is 3302004403. The next prime is 3302004421. The reversal of 3302004420 is 244002033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3302004393 and 3302004402.

It is not an unprimeable number, because it can be changed into a prime (3302004421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4710070 + ... + 4710770.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 2^3302004420 is an apocalyptic number.

3302004420 is a gapful number since it is divisible by the number (30) 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 3302004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142106880).

3302004420 is an abundant number, since it is smaller than the sum of its proper divisors (8982209340).

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

3302004420 is a wasteful number, since it uses less digits than its factorization.

3302004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3302004420 is about 57463.0700537310. The cubic root of 3302004420 is about 1489.1069254418.

Adding to 3302004420 its reverse (244002033), we get a palindrome (3546006453).

The spelling of 3302004420 in words is "three billion, three hundred two million, four thousand, four hundred twenty".