3003042000 has 320 divisors, whose sum is σ = 11171856384. Its totient is φ = 679795200.

The previous prime is 3003041999. The next prime is 3003042001. The reversal of 3003042000 is 2403003.

It is an interprime number because it is at equal distance from previous prime (3003041999) and next prime (3003042001).

It is a super-2 number, since 2×3003042000² = 18036522507528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003042001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5333719 + ... + 5334281.

Almost surely, 2^3003042000 is an apocalyptic number.

3003042000 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 3003042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585928192).

3003042000 is an abundant number, since it is smaller than the sum of its proper divisors (8168814384).

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

3003042000 is a wasteful number, since it uses less digits than its factorization.

3003042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3003042000 is about 54800.0182481721. The cubic root of 3003042000 is about 1442.7368859866.

Adding to 3003042000 its reverse (2403003), we get a palindrome (3005445003).

The spelling of 3003042000 in words is "three billion, three million, forty-two thousand".