3134210040 has 192 divisors, whose sum is σ = 11203920000. Its totient is φ = 755030016.

The previous prime is 3134210039. The next prime is 3134210047. The reversal of 3134210040 is 400124313.

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

It is a junction number, because it is equal to n+sod(n) for n = 3134209995 and 3134210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134210047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212836 + ... + 227084.

It is an arithmetic number, because the mean of its divisors is an integer number (58353750).

Almost surely, 2^3134210040 is an apocalyptic number.

3134210040 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 3134210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960000).

3134210040 is an abundant number, since it is smaller than the sum of its proper divisors (8069709960).

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

3134210040 is a wasteful number, since it uses less digits than its factorization.

3134210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14319 counting only the distinct ones).

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

The square root of 3134210040 is about 55984.0159331215. The cubic root of 3134210040 is about 1463.4437441518.

Adding to 3134210040 its reverse (400124313), we get a palindrome (3534334353).

The spelling of 3134210040 in words is "three billion, one hundred thirty-four million, two hundred ten thousand, forty".