3405132614136 has 256 divisors, whose sum is σ = 9657269452800. Its totient is φ = 991531251200.

The previous prime is 3405132614119. The next prime is 3405132614161. The reversal of 3405132614136 is 6314162315043.

It is a junction number, because it is equal to n+sod(n) for n = 3405132614094 and 3405132614103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688877281 + ... + 688882223.

It is an arithmetic number, because the mean of its divisors is an integer number (37723708800).

Almost surely, 2^{3405132614136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405132614136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828634726400).

3405132614136 is an abundant number, since it is smaller than the sum of its proper divisors (6252136838664).

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

3405132614136 is a wasteful number, since it uses less digits than its factorization.

3405132614136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6010 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 3405132614136 its reverse (6314162315043), we get a palindrome (9719294929179).

The spelling of 3405132614136 in words is "three trillion, four hundred five billion, one hundred thirty-two million, six hundred fourteen thousand, one hundred thirty-six".