3301002000 has 120 divisors (see below), whose sum is σ = 11529362520. Its totient is φ = 880262400.

The previous prime is 3301001999. The next prime is 3301002037. The reversal of 3301002000 is 2001033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 503015184 + 2797986816 = 22428^2 + 52896^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3301002000² = 21793228408008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 73695 + ... + 109694.

It is an arithmetic number, because the mean of its divisors is an integer number (96078021).

Almost surely, 2^3301002000 is an apocalyptic number.

3301002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301002000 is an abundant number, since it is smaller than the sum of its proper divisors (8228360520).

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

3301002000 is a wasteful number, since it uses less digits than its factorization.

3301002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183418 (or 183399 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3301002000 is about 57454.3470940189. The cubic root of 3301002000 is about 1488.9562228733.

Adding to 3301002000 its reverse (2001033), we get a palindrome (3303003033).

The spelling of 3301002000 in words is "three billion, three hundred one million, two thousand".