3041600400 has 180 divisors, whose sum is σ = 10578522708. Its totient is φ = 809303040.

The previous prime is 3041600383. The next prime is 3041600413. The reversal of 3041600400 is 40061403.

It can be written as a sum of positive squares in 6 ways, for example, as 17040384 + 3024560016 = 4128^2 + 54996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2782254 + ... + 2783346.

Almost surely, 2^3041600400 is an apocalyptic number.

3041600400 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 3041600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289261354).

3041600400 is an abundant number, since it is smaller than the sum of its proper divisors (7536922308).

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

3041600400 is a wasteful number, since it uses less digits than its factorization.

3041600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3041600400 is about 55150.7062511442. The cubic root of 3041600400 is about 1448.8854534687.

Adding to 3041600400 its reverse (40061403), we get a palindrome (3081661803).

The spelling of 3041600400 in words is "three billion, forty-one million, six hundred thousand, four hundred".