3463921138272 has 288 divisors, whose sum is σ = 10630049472000. Its totient is φ = 984772131840.

The previous prime is 3463921138243. The next prime is 3463921138289. The reversal of 3463921138272 is 2728311293643.

It is a super-3 number, since 3×3463921138272³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861455622 + ... + 861459642.

It is an arithmetic number, because the mean of its divisors is an integer number (36909894000).

Almost surely, 2^{3463921138272} is an apocalyptic number.

3463921138272 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 3463921138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315024736000).

3463921138272 is an abundant number, since it is smaller than the sum of its proper divisors (7166128333728).

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

3463921138272 is a wasteful number, since it uses less digits than its factorization.

3463921138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4899 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 3463921138272 in words is "three trillion, four hundred sixty-three billion, nine hundred twenty-one million, one hundred thirty-eight thousand, two hundred seventy-two".