3506134707440 has 80 divisors (see below), whose sum is σ = 8228155792896. Its totient is φ = 1389366432000.

The previous prime is 3506134707437. The next prime is 3506134707451. The reversal of 3506134707440 is 447074316053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3506134707391 and 3506134707400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3623165 + ... + 4487715.

Almost surely, 2^{3506134707440} 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 3506134707440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114077896448).

3506134707440 is an abundant number, since it is smaller than the sum of its proper divisors (4722021085456).

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

3506134707440 is a wasteful number, since it uses less digits than its factorization.

3506134707440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865038 (or 865032 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 3506134707440 in words is "three trillion, five hundred six billion, one hundred thirty-four million, seven hundred seven thousand, four hundred forty".