3006464000 has 136 divisors (see below), whose sum is σ = 7524523968. Its totient is φ = 1199308800.

The previous prime is 3006463997. The next prime is 3006464009. The reversal of 3006464000 is 4646003.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3006464009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191817 + ... + 8192183.

Almost surely, 2^3006464000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762261984).

3006464000 is an abundant number, since it is smaller than the sum of its proper divisors (4518059968).

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

3006464000 is an frugal number, since it uses more digits than its factorization.

3006464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3006464000 is about 54831.2319759460. The cubic root of 3006464000 is about 1443.2846829135.

The spelling of 3006464000 in words is "three billion, six million, four hundred sixty-four thousand".