3054414400 has 84 divisors (see below), whose sum is σ = 7526677860. Its totient is φ = 1219993600.

The previous prime is 3054414397. The next prime is 3054414401. The reversal of 3054414400 is 44144503.

It can be written as a sum of positive squares in 6 ways, for example, as 304704 + 3054109696 = 552^2 + 55264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3054414401) 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 11 ways as a sum of consecutive naturals, for example, 2061660 + ... + 2063140.

Almost surely, 2^3054414400 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 3054414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763338930).

3054414400 is an abundant number, since it is smaller than the sum of its proper divisors (4472263460).

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

3054414400 is a wasteful number, since it uses less digits than its factorization.

3054414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 3054414400 is about 55266.7567349487. The cubic root of 3054414400 is about 1450.9172792917.

Adding to 3054414400 its reverse (44144503), we get a palindrome (3098558903).

It can be divided in two parts, 30544 and 14400, that added together give a palindrome (44944).

The spelling of 3054414400 in words is "three billion, fifty-four million, four hundred fourteen thousand, four hundred".