3420475725312 has 120 divisors (see below), whose sum is σ = 9873228455376. Its totient is φ = 1139984879616.

The previous prime is 3420475725283. The next prime is 3420475725353. The reversal of 3420475725312 is 2135275740243.

3420475725312 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 47 + 5 + 72 + 531 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32189133 + ... + 32295219.

Almost surely, 2^{3420475725312} is an apocalyptic number.

3420475725312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420475725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936614227688).

3420475725312 is an abundant number, since it is smaller than the sum of its proper divisors (6452752730064).

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

3420475725312 is a wasteful number, since it uses less digits than its factorization.

3420475725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113108 (or 113089 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 3420475725312 in words is "three trillion, four hundred twenty billion, four hundred seventy-five million, seven hundred twenty-five thousand, three hundred twelve".