3465846838272 has 1584 divisors, whose sum is σ = 12717040230720. Its totient is φ = 829386915840.

The previous prime is 3465846838247. The next prime is 3465846838319. The reversal of 3465846838272 is 2728386485643.

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 143 ways as a sum of consecutive naturals, for example, 35730379728 + ... + 35730379824.

Almost surely, 2^{3465846838272} is an apocalyptic number.

3465846838272 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 3465846838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358520115360).

3465846838272 is an abundant number, since it is smaller than the sum of its proper divisors (9251193392448).

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

3465846838272 is a wasteful number, since it uses less digits than its factorization.

3465846838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 172 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 66.

The spelling of 3465846838272 in words is "three trillion, four hundred sixty-five billion, eight hundred forty-six million, eight hundred thirty-eight thousand, two hundred seventy-two".