3291456000 has 640 divisors, whose sum is σ = 13073448960. Its totient is φ = 718848000.

The previous prime is 3291455987. The next prime is 3291456019. The reversal of 3291456000 is 6541923.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 41663961 + ... + 41664039.

It is an arithmetic number, because the mean of its divisors is an integer number (20427264).

Almost surely, 2^3291456000 is an apocalyptic number.

3291456000 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 3291456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536724480).

3291456000 is an abundant number, since it is smaller than the sum of its proper divisors (9781992960).

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

3291456000 is an equidigital number, since it uses as much as digits as its factorization.

3291456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 3291456000 is about 57371.2122932748. The cubic root of 3291456000 is about 1487.5195581544.

Adding to 3291456000 its reverse (6541923), we get a palindrome (3297997923).

The spelling of 3291456000 in words is "three billion, two hundred ninety-one million, four hundred fifty-six thousand".