3240006912 has 144 divisors (see below), whose sum is σ = 9890997760. Its totient is φ = 1045094400.

The previous prime is 3240006907. The next prime is 3240006947. The reversal of 3240006912 is 2196000423.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 206712 + ... + 221832.

Almost surely, 2^3240006912 is an apocalyptic number.

3240006912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3240006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945498880).

3240006912 is an abundant number, since it is smaller than the sum of its proper divisors (6650990848).

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

3240006912 is a wasteful number, since it uses less digits than its factorization.

3240006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15177 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3240006912 is about 56921.0585987295. The cubic root of 3240006912 is about 1479.7282968480.

The spelling of 3240006912 in words is "three billion, two hundred forty million, six thousand, nine hundred twelve".