3140404200 has 144 divisors (see below), whose sum is σ = 10910378700. Its totient is φ = 808550400.

The previous prime is 3140404147. The next prime is 3140404207. The reversal of 3140404200 is 24040413.

It can be written as a sum of positive squares in 6 ways, for example, as 2066793444 + 1073610756 = 45462^2 + 32766^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3140404207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22120 + ... + 82280.

Almost surely, 2^3140404200 is an apocalyptic number.

3140404200 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 3140404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455189350).

3140404200 is an abundant number, since it is smaller than the sum of its proper divisors (7769974500).

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

3140404200 is a wasteful number, since it uses less digits than its factorization.

3140404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60212 (or 60200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3140404200 is about 56039.3094175865. The cubic root of 3140404200 is about 1464.4071809268.

Adding to 3140404200 its reverse (24040413), we get a palindrome (3164444613).

The spelling of 3140404200 in words is "three billion, one hundred forty million, four hundred four thousand, two hundred".