3406756320 has 480 divisors, whose sum is σ = 13699445760. Its totient is φ = 789212160.

The previous prime is 3406756307. The next prime is 3406756357. The reversal of 3406756320 is 236576043.

3406756320 is a `hidden beast` number, since 34 + 0 + 67 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 3278361 + ... + 3279399.

It is an arithmetic number, because the mean of its divisors is an integer number (28540512).

Almost surely, 2^3406756320 is an apocalyptic number.

3406756320 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 3406756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849722880).

3406756320 is an abundant number, since it is smaller than the sum of its proper divisors (10292689440).

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

3406756320 is a wasteful number, since it uses less digits than its factorization.

3406756320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 3406756320 is about 58367.4251616430. The cubic root of 3406756320 is about 1504.6899608950.

The spelling of 3406756320 in words is "three billion, four hundred six million, seven hundred fifty-six thousand, three hundred twenty".