3434014130340 has 96 divisors (see below), whose sum is σ = 9635848225920. Its totient is φ = 913775385600.

The previous prime is 3434014130303. The next prime is 3434014130341. The reversal of 3434014130340 is 430314104343.

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 = 3434014130298 and 3434014130307.

It is not an unprimeable number, because it can be changed into a prime (3434014130341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125963631 + ... + 125990889.

It is an arithmetic number, because the mean of its divisors is an integer number (100373419020).

Almost surely, 2^{3434014130340} is an apocalyptic number.

3434014130340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434014130340 is an abundant number, since it is smaller than the sum of its proper divisors (6201834095580).

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

3434014130340 is a wasteful number, since it uses less digits than its factorization.

3434014130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31693 (or 31691 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 3434014130340 its reverse (430314104343), we get a palindrome (3864328234683).

The spelling of 3434014130340 in words is "three trillion, four hundred thirty-four billion, fourteen million, one hundred thirty thousand, three hundred forty".