3412654084224 has 384 divisors, whose sum is σ = 12696920570880. Its totient is φ = 886403036160.

The previous prime is 3412654084219. The next prime is 3412654084241. The reversal of 3412654084224 is 4224804562143.

3412654084224 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 6 + 540 + 84 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 3412654084224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1682557 + ... + 3107459.

It is an arithmetic number, because the mean of its divisors is an integer number (33064897320).

Almost surely, 2^{3412654084224} 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 3412654084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348460285440).

3412654084224 is an abundant number, since it is smaller than the sum of its proper divisors (9284266486656).

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

3412654084224 is a wasteful number, since it uses less digits than its factorization.

3412654084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424950 (or 1424926 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 3412654084224 in words is "three trillion, four hundred twelve billion, six hundred fifty-four million, eighty-four thousand, two hundred twenty-four".