3427272112320 has 224 divisors, whose sum is σ = 13817890982400. Its totient is φ = 783376468992.

The previous prime is 3427272112301. The next prime is 3427272112331. The reversal of 3427272112320 is 232112727243.

3427272112320 is a `hidden beast` number, since 34 + 27 + 272 + 1 + 12 + 320 = 666.

3427272112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×3427272112320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28273450 + ... + 28394409.

Almost surely, 2^{3427272112320} is an apocalyptic number.

3427272112320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3427272112320 is an abundant number, since it is smaller than the sum of its proper divisors (10390618870080).

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

3427272112320 is a wasteful number, since it uses less digits than its factorization.

3427272112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56667892 (or 56667876 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 3427272112320 its reverse (232112727243), we get a palindrome (3659384839563).

The spelling of 3427272112320 in words is "three trillion, four hundred twenty-seven billion, two hundred seventy-two million, one hundred twelve thousand, three hundred twenty".