3111040000 has 110 divisors (see below), whose sum is σ = 7772913434. Its totient is φ = 1244160000.

The previous prime is 3111039979. The next prime is 3111040003. The reversal of 3111040000 is 401113.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 535274496 + 2575765504 = 23136^2 + 50752^2 .

It is a super-3 number, since 3×3111040000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111040003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 637570 + ... + 642430.

Almost surely, 2^3111040000 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 3111040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886456717).

3111040000 is an abundant number, since it is smaller than the sum of its proper divisors (4661873434).

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

3111040000 is an frugal number, since it uses more digits than its factorization.

3111040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 3111040000 is about 55776.6976433707. The cubic root of 3111040000 is about 1459.8285906229.

Adding to 3111040000 its reverse (401113), we get a palindrome (3111441113).

The spelling of 3111040000 in words is "three billion, one hundred eleven million, forty thousand".