3302004000 has 96 divisors (see below), whose sum is σ = 10817404416. Its totient is φ = 880531200.

The previous prime is 3302003981. The next prime is 3302004011. The reversal of 3302004000 is 4002033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 125584 + ... + 149583.

It is an arithmetic number, because the mean of its divisors is an integer number (112681296).

Almost surely, 2^3302004000 is an apocalyptic number.

3302004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3302004000 is an abundant number, since it is smaller than the sum of its proper divisors (7515400416).

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

3302004000 is a wasteful number, since it uses less digits than its factorization.

3302004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275195 (or 275177 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3302004000 is about 57463.0663992098. The cubic root of 3302004000 is about 1489.1068623059.

Adding to 3302004000 its reverse (4002033), we get a palindrome (3306006033).

The spelling of 3302004000 in words is "three billion, three hundred two million, four thousand".