3296412000 has 576 divisors, whose sum is σ = 13606354944. Its totient is φ = 740275200.

The previous prime is 3296411977. The next prime is 3296412059. The reversal of 3296412000 is 2146923.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25955937 + ... + 25956063.

It is an arithmetic number, because the mean of its divisors is an integer number (23622144).

Almost surely, 2^3296412000 is an apocalyptic number.

3296412000 is a gapful number since it is divisible by the number (30) 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 3296412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803177472).

3296412000 is an abundant number, since it is smaller than the sum of its proper divisors (10309942944).

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

3296412000 is a wasteful number, since it uses less digits than its factorization.

3296412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

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

The square root of 3296412000 is about 57414.3884405294. The cubic root of 3296412000 is about 1488.2657780544.

Adding to 3296412000 its reverse (2146923), we get a palindrome (3298558923).

The spelling of 3296412000 in words is "three billion, two hundred ninety-six million, four hundred twelve thousand".