3411112320 has 384 divisors, whose sum is σ = 14687412480. Its totient is φ = 708710400.

The previous prime is 3411112307. The next prime is 3411112321. The reversal of 3411112320 is 232111143.

3411112320 is a `hidden beast` number, since 341 + 1 + 1 + 1 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3411112293 and 3411112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439675 + ... + 447365.

It is an arithmetic number, because the mean of its divisors is an integer number (38248470).

Almost surely, 2^3411112320 is an apocalyptic number.

3411112320 is a gapful number since it is divisible by the number (30) 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 3411112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343706240).

3411112320 is an abundant number, since it is smaller than the sum of its proper divisors (11276300160).

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

3411112320 is a wasteful number, since it uses less digits than its factorization.

3411112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7719 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3411112320 is about 58404.7285756898. The cubic root of 3411112320 is about 1505.3310044823.

Adding to 3411112320 its reverse (232111143), we get a palindrome (3643223463).

It can be divided in two parts, 34111123 and 20, that added together give a palindrome (34111143).

The spelling of 3411112320 in words is "three billion, four hundred eleven million, one hundred twelve thousand, three hundred twenty".