3467996419272 has 576 divisors, whose sum is σ = 11276517954240. Its totient is φ = 885365268480.

The previous prime is 3467996419247. The next prime is 3467996419343. The reversal of 3467996419272 is 2729146997643.

3467996419272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3467996419272² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3467996419197 and 3467996419206.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5848223008 + ... + 5848223600.

It is an arithmetic number, because the mean of its divisors is an integer number (19577288115).

Almost surely, 2^{3467996419272} 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 3467996419272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638258977120).

3467996419272 is an abundant number, since it is smaller than the sum of its proper divisors (7808521534968).

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

3467996419272 is a wasteful number, since it uses less digits than its factorization.

3467996419272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1252 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 69.

The spelling of 3467996419272 in words is "three trillion, four hundred sixty-seven billion, nine hundred ninety-six million, four hundred nineteen thousand, two hundred seventy-two".