3111342000 has 320 divisors, whose sum is σ = 10929050496. Its totient is φ = 756940800.

The previous prime is 3111341993. The next prime is 3111342007. The reversal of 3111342000 is 2431113.

It is an interprime number because it is at equal distance from previous prime (3111341993) and next prime (3111342007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3111342007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8813824 + ... + 8814176.

Almost surely, 2^3111342000 is an apocalyptic number.

3111342000 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 3111342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5464525248).

3111342000 is an abundant number, since it is smaller than the sum of its proper divisors (7817708496).

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

3111342000 is a wasteful number, since it uses less digits than its factorization.

3111342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3111342000 is about 55779.4048014139. The cubic root of 3111342000 is about 1459.8758260565.

Adding to 3111342000 its reverse (2431113), we get a palindrome (3113773113).

The spelling of 3111342000 in words is "three billion, one hundred eleven million, three hundred forty-two thousand".