3040870400 has 138 divisors (see below), whose sum is σ = 7801404510. Its totient is φ = 1174405120.

The previous prime is 3040870351. The next prime is 3040870403. The reversal of 3040870400 is 40780403.

It can be written as a sum of positive squares in 3 ways, for example, as 205520896 + 2835349504 = 14336^2 + 53248^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3040870400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040870403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104857586 + ... + 104857614.

Almost surely, 2^3040870400 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 3040870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900702255).

3040870400 is an abundant number, since it is smaller than the sum of its proper divisors (4760534110).

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

3040870400 is an frugal number, since it uses more digits than its factorization.

3040870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3040870400 is about 55144.0876250573. The cubic root of 3040870400 is about 1448.7695308326.

The spelling of 3040870400 in words is "three billion, forty million, eight hundred seventy thousand, four hundred".