3406704040692 has 288 divisors, whose sum is σ = 9553130496000. Its totient is φ = 1019478700800.

The previous prime is 3406704040591. The next prime is 3406704040693. The reversal of 3406704040692 is 2960404076043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406704040693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224309523 + ... + 224324709.

It is an arithmetic number, because the mean of its divisors is an integer number (33170592000).

Almost surely, 2^{3406704040692} 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 3406704040692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776565248000).

3406704040692 is an abundant number, since it is smaller than the sum of its proper divisors (6146426455308).

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

3406704040692 is a wasteful number, since it uses less digits than its factorization.

3406704040692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15467 (or 15462 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3406704040692 in words is "three trillion, four hundred six billion, seven hundred four million, forty thousand, six hundred ninety-two".