3434137404540 has 96 divisors (see below), whose sum is σ = 10181603577600. Its totient is φ = 861867611136.

The previous prime is 3434137404497. The next prime is 3434137404547. The reversal of 3434137404540 is 454047314343.

It is a super-2 number, since 2×3434137404540² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3434137404492 and 3434137404501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434137404547) 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, 35753019 + ... + 35848941.

It is an arithmetic number, because the mean of its divisors is an integer number (106058370600).

Almost surely, 2^{3434137404540} is an apocalyptic number.

3434137404540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434137404540 is an abundant number, since it is smaller than the sum of its proper divisors (6747466173060).

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

3434137404540 is a wasteful number, since it uses less digits than its factorization.

3434137404540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131051 (or 131049 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 3434137404540 in words is "three trillion, four hundred thirty-four billion, one hundred thirty-seven million, four hundred four thousand, five hundred forty".