3134433003240 has 384 divisors, whose sum is σ = 12114007695360. Its totient is φ = 630298944000.

The previous prime is 3134433003223. The next prime is 3134433003307. The reversal of 3134433003240 is 423003344313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3134433003198 and 3134433003207.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8703145 + ... + 9056135.

It is an arithmetic number, because the mean of its divisors is an integer number (31546895040).

Almost surely, 2^{3134433003240} is an apocalyptic number.

3134433003240 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 3134433003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057003847680).

3134433003240 is an abundant number, since it is smaller than the sum of its proper divisors (8979574692120).

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

3134433003240 is a wasteful number, since it uses less digits than its factorization.

3134433003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353085 (or 353050 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3134433003240 its reverse (423003344313), we get a palindrome (3557436347553).

The spelling of 3134433003240 in words is "three trillion, one hundred thirty-four billion, four hundred thirty-three million, three thousand, two hundred forty".