3331002000 has 80 divisors (see below), whose sum is σ = 10739169792. Its totient is φ = 888265600.

The previous prime is 3331001969. The next prime is 3331002047. The reversal of 3331002000 is 2001333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3331002000² = 22191148648008000000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271584 + ... + 283583.

Almost surely, 2^3331002000 is an apocalyptic number.

3331002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331002000 is an abundant number, since it is smaller than the sum of its proper divisors (7408167792).

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

3331002000 is a wasteful number, since it uses less digits than its factorization.

3331002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555193 (or 555177 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3331002000 is about 57714.8334486031. The cubic root of 3331002000 is about 1493.4532460221.

Adding to 3331002000 its reverse (2001333), we get a palindrome (3333003333).

The spelling of 3331002000 in words is "three billion, three hundred thirty-one million, two thousand".