3023432800 has 144 divisors (see below), whose sum is σ = 7911806112. Its totient is φ = 1125273600.

The previous prime is 3023432791. The next prime is 3023432803. The reversal of 3023432800 is 82343203.

It is a super-2 number, since 2×3023432800² = 18282291792231680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023432803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678580 + ... + 683020.

It is an arithmetic number, because the mean of its divisors is an integer number (54943098).

Almost surely, 2^3023432800 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 3023432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955903056).

3023432800 is an abundant number, since it is smaller than the sum of its proper divisors (4888373312).

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

3023432800 is a wasteful number, since it uses less digits than its factorization.

3023432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3023432800 is about 54985.7508814784. The cubic root of 3023432800 is about 1445.9949406367.

The spelling of 3023432800 in words is "three billion, twenty-three million, four hundred thirty-two thousand, eight hundred".