3000023400 has 192 divisors, whose sum is σ = 10587179520. Its totient is φ = 695622400.

The previous prime is 3000023399. The next prime is 3000023401. The reversal of 3000023400 is 43200003.

It is an interprime number because it is at equal distance from previous prime (3000023399) and next prime (3000023401).

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

3000023400 is a modest number, since divided by 23400 gives 3000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3000023401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141919 + ... + 161681.

It is an arithmetic number, because the mean of its divisors is an integer number (55141560).

Almost surely, 2^3000023400 is an apocalyptic number.

3000023400 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 3000023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293589760).

3000023400 is an abundant number, since it is smaller than the sum of its proper divisors (7587156120).

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

3000023400 is a wasteful number, since it uses less digits than its factorization.

3000023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19816 (or 19807 counting only the distinct ones).

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

The square root of 3000023400 is about 54772.4693618975. The cubic root of 3000023400 is about 1442.2533201465.

Adding to 3000023400 its reverse (43200003), we get a palindrome (3043223403).

The spelling of 3000023400 in words is "three billion, twenty-three thousand, four hundred".