3474615412224 has 320 divisors, whose sum is σ = 11226058272000. Its totient is φ = 1052355870720.

The previous prime is 3474615412207. The next prime is 3474615412231. The reversal of 3474615412224 is 4222145164743.

3474615412224 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 6 + 1 + 5 + 412 + 224 = 666.

3474615412224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3474615412224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355672812 + ... + 355682580.

It is an arithmetic number, because the mean of its divisors is an integer number (35081432100).

Almost surely, 2^{3474615412224} 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 3474615412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613029136000).

3474615412224 is an abundant number, since it is smaller than the sum of its proper divisors (7751442859776).

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

3474615412224 is a wasteful number, since it uses less digits than its factorization.

3474615412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12124 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 3474615412224 in words is "three trillion, four hundred seventy-four billion, six hundred fifteen million, four hundred twelve thousand, two hundred twenty-four".