3406911656000 has 896 divisors, whose sum is σ = 9563927592960. Its totient is φ = 1196163072000.

The previous prime is 3406911655999. The next prime is 3406911656003. The reversal of 3406911656000 is 6561196043.

It is not an unprimeable number, because it can be changed into a prime (3406911656003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17652391904 + ... + 17652392096.

Almost surely, 2^{3406911656000} 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 3406911656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4781963796480).

3406911656000 is an abundant number, since it is smaller than the sum of its proper divisors (6157015936960).

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

3406911656000 is a wasteful number, since it uses less digits than its factorization.

3406911656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 3406911656000 in words is "three trillion, four hundred six billion, nine hundred eleven million, six hundred fifty-six thousand".