3405184054272 has 2816 divisors, whose sum is σ = 14438129664000. Its totient is φ = 790091366400.

The previous prime is 3405184054189. The next prime is 3405184054301. The reversal of 3405184054272 is 2724504815043.

3405184054272 is a `hidden beast` number, since 3 + 40 + 5 + 184 + 0 + 5 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 109844646897 + ... + 109844646927.

Almost surely, 2^{3405184054272} is an apocalyptic number.

3405184054272 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 3405184054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219064832000).

3405184054272 is an abundant number, since it is smaller than the sum of its proper divisors (11032945609728).

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

3405184054272 is an equidigital number, since it uses as much as digits as its factorization.

3405184054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 3405184054272 in words is "three trillion, four hundred five billion, one hundred eighty-four million, fifty-four thousand, two hundred seventy-two".