3312642000 has 80 divisors (see below), whose sum is σ = 10679977152. Its totient is φ = 883369600.

The previous prime is 3312641993. The next prime is 3312642007. The reversal of 3312642000 is 2462133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3312641993) and next prime (3312642007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312642007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270054 + ... + 282053.

Almost surely, 2^3312642000 is an apocalyptic number.

3312642000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3312642000 is an abundant number, since it is smaller than the sum of its proper divisors (7367335152).

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

3312642000 is a wasteful number, since it uses less digits than its factorization.

3312642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552133 (or 552117 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3312642000 is about 57555.5557700558. Note that the first 3 decimals coincide. The cubic root of 3312642000 is about 1490.7042899602.

The spelling of 3312642000 in words is "three billion, three hundred twelve million, six hundred forty-two thousand".