3472619196672 has 216 divisors, whose sum is σ = 10221089063640. Its totient is φ = 1133581271040.

The previous prime is 3472619196653. The next prime is 3472619196677. The reversal of 3472619196672 is 2766919162743.

3472619196672 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 619 + 1 + 9 + 6 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 336659890176 + 3135959306496 = 580224^2 + 1770864^2 .

It is not an unprimeable number, because it can be changed into a prime (3472619196677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32130628 + ... + 32238524.

Almost surely, 2^{3472619196672} is an apocalyptic number.

3472619196672 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 3472619196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110544531820).

3472619196672 is an abundant number, since it is smaller than the sum of its proper divisors (6748469866968).

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

3472619196672 is a wasteful number, since it uses less digits than its factorization.

3472619196672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108209 (or 108192 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 3472619196672 in words is "three trillion, four hundred seventy-two billion, six hundred nineteen million, one hundred ninety-six thousand, six hundred seventy-two".