3023452800 has 288 divisors, whose sum is σ = 10971602460. Its totient is φ = 792576000.

The previous prime is 3023452793. The next prime is 3023452807. The reversal of 3023452800 is 82543203.

It is an interprime number because it is at equal distance from previous prime (3023452793) and next prime (3023452807).

It can be written as a sum of positive squares in 6 ways, for example, as 609892416 + 2413560384 = 24696^2 + 49128^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3023452807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1755940 + ... + 1757660.

Almost surely, 2^3023452800 is an apocalyptic number.

3023452800 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 3023452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485801230).

3023452800 is an abundant number, since it is smaller than the sum of its proper divisors (7948149660).

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

3023452800 is a wasteful number, since it uses less digits than its factorization.

3023452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3023452800 is about 54985.9327464762. The cubic root of 3023452800 is about 1445.9981290472.

The spelling of 3023452800 in words is "three billion, twenty-three million, four hundred fifty-two thousand, eight hundred".