3406050648 has 640 divisors, whose sum is σ = 13172544000. Its totient is φ = 793774080.

The previous prime is 3406050607. The next prime is 3406050649. The reversal of 3406050648 is 8460506043.

3406050648 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 0 + 5 + 0 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406050649) 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 159 ways as a sum of consecutive naturals, for example, 38270188 + ... + 38270276.

It is an arithmetic number, because the mean of its divisors is an integer number (20582100).

Almost surely, 2^3406050648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406050648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).

3406050648 is an abundant number, since it is smaller than the sum of its proper divisors (9766493352).

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

3406050648 is a wasteful number, since it uses less digits than its factorization.

3406050648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3406050648 is about 58361.3797643613. The cubic root of 3406050648 is about 1504.5860604105.

It can be divided in two parts, 3406050 and 648, that multiplied together give a square (2207120400 = 46980²).

The spelling of 3406050648 in words is "three billion, four hundred six million, fifty thousand, six hundred forty-eight".