3006249000 has 64 divisors (see below), whose sum is σ = 9379506240. Its totient is φ = 801665600.

The previous prime is 3006248977. The next prime is 3006249023. The reversal of 3006249000 is 9426003.

3006249000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3006248977) and next prime (3006249023).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498042 + ... + 504041.

It is an arithmetic number, because the mean of its divisors is an integer number (146554785).

Almost surely, 2^3006249000 is an apocalyptic number.

3006249000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3006249000 is an abundant number, since it is smaller than the sum of its proper divisors (6373257240).

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

3006249000 is a wasteful number, since it uses less digits than its factorization.

3006249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002107 (or 1002093 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3006249000 is about 54829.2713794375. The cubic root of 3006249000 is about 1443.2502777558.

The spelling of 3006249000 in words is "three billion, six million, two hundred forty-nine thousand".