3006534400 has 216 divisors, whose sum is σ = 7824186720. Its totient is φ = 1142292480.

The previous prime is 3006534397. The next prime is 3006534403. The reversal of 3006534400 is 44356003.

It is an interprime number because it is at equal distance from previous prime (3006534397) and next prime (3006534403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3006534403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18003117 + ... + 18003283.

Almost surely, 2^3006534400 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 3006534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912093360).

3006534400 is an abundant number, since it is smaller than the sum of its proper divisors (4817652320).

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

3006534400 is a wasteful number, since it uses less digits than its factorization.

3006534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3006534400 is about 54831.8739420786. The cubic root of 3006534400 is about 1443.2959482459.

It can be divided in two parts, 3006 and 534400, that multiplied together give a square (1606406400 = 40080²).

The spelling of 3006534400 in words is "three billion, six million, five hundred thirty-four thousand, four hundred".