3006426300 has 72 divisors (see below), whose sum is σ = 8712327792. Its totient is φ = 800448000.

The previous prime is 3006426281. The next prime is 3006426331. The reversal of 3006426300 is 36246003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190720 + ... + 205880.

Almost surely, 2^3006426300 is an apocalyptic number.

3006426300 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 3006426300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356163896).

3006426300 is an abundant number, since it is smaller than the sum of its proper divisors (5705901492).

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

3006426300 is a wasteful number, since it uses less digits than its factorization.

3006426300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15839 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3006426300 is about 54830.8881926966. Note that the first 3 decimals coincide. The cubic root of 3006426300 is about 1443.2786501277.

The spelling of 3006426300 in words is "three billion, six million, four hundred twenty-six thousand, three hundred".