3331001000 has 32 divisors (see below), whose sum is σ = 7794544680. Its totient is φ = 1332400000.

The previous prime is 3331000973. The next prime is 3331001027. The reversal of 3331001000 is 1001333.

It is an interprime number because it is at equal distance from previous prime (3331000973) and next prime (3331001027).

It can be written as a sum of positive squares in 4 ways, for example, as 116337796 + 3214663204 = 10786^2 + 56698^2 .

It is a super-2 number, since 2×3331001000² = 22191135324002000000, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1664501 + ... + 1666500.

Almost surely, 2^3331001000 is an apocalyptic number.

It is an amenable number.

3331001000 is an abundant number, since it is smaller than the sum of its proper divisors (4463543680).

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

3331001000 is a wasteful number, since it uses less digits than its factorization.

3331001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331022 (or 3331008 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 3331001000 is about 57714.8247853184. The cubic root of 3331001000 is about 1493.4530965723.

Adding to 3331001000 its reverse (1001333), we get a palindrome (3332002333).

The spelling of 3331001000 in words is "three billion, three hundred thirty-one million, one thousand".