3041146400 has 72 divisors (see below), whose sum is σ = 7490122164. Its totient is φ = 1205657600.

The previous prime is 3041146397. The next prime is 3041146417. The reversal of 3041146400 is 46411403.

It can be written as a sum of positive squares in 6 ways, for example, as 674129296 + 2367017104 = 25964^2 + 48652^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73580 + ... + 107220.

Almost surely, 2^3041146400 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 3041146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745061082).

3041146400 is an abundant number, since it is smaller than the sum of its proper divisors (4448975764).

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

3041146400 is a wasteful number, since it uses less digits than its factorization.

3041146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33774 (or 33761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3041146400 is about 55146.5901031061. The cubic root of 3041146400 is about 1448.8133612979.

Adding to 3041146400 its reverse (46411403), we get a palindrome (3087557803).

The spelling of 3041146400 in words is "three billion, forty-one million, one hundred forty-six thousand, four hundred".