3000410400 has 144 divisors (see below), whose sum is σ = 10517701824. Its totient is φ = 738554880.

The previous prime is 3000410363. The next prime is 3000410447. The reversal of 3000410400 is 40140003.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16884 + ... + 79283.

It is an arithmetic number, because the mean of its divisors is an integer number (73039596).

Almost surely, 2^3000410400 is an apocalyptic number.

3000410400 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 3000410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258850912).

3000410400 is an abundant number, since it is smaller than the sum of its proper divisors (7517291424).

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

3000410400 is a wasteful number, since it uses less digits than its factorization.

3000410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96203 (or 96190 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3000410400 is about 54776.0020446911. The cubic root of 3000410400 is about 1442.3153338891.

Adding to 3000410400 its reverse (40140003), we get a palindrome (3040550403).

It can be divided in two parts, 30004 and 10400, that added together give a palindrome (40404).

The spelling of 3000410400 in words is "three billion, four hundred ten thousand, four hundred".