3406149170424 has 864 divisors, whose sum is σ = 12776631678720. Its totient is φ = 811907712000.

The previous prime is 3406149170423. The next prime is 3406149170429. The reversal of 3406149170424 is 4240719416043.

3406149170424 is a `hidden beast` number, since 3 + 4 + 0 + 614 + 9 + 1 + 7 + 0 + 4 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3406149170424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406149170423) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1004465769 + ... + 1004469159.

Almost surely, 2^{3406149170424} 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 3406149170424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388315839360).

3406149170424 is an abundant number, since it is smaller than the sum of its proper divisors (9370482508296).

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

3406149170424 is a wasteful number, since it uses less digits than its factorization.

3406149170424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3406149170424 in words is "three trillion, four hundred six billion, one hundred forty-nine million, one hundred seventy thousand, four hundred twenty-four".