3413310048 has 144 divisors (see below), whose sum is σ = 10324117440. Its totient is φ = 1065996288.

The previous prime is 3413310041. The next prime is 3413310079. The reversal of 3413310048 is 8400133143.

3413310048 is a `hidden beast` number, since 341 + 3 + 310 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413310041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1168686 + ... + 1171602.

It is an arithmetic number, because the mean of its divisors is an integer number (71695260).

Almost surely, 2^3413310048 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 3413310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162058720).

3413310048 is an abundant number, since it is smaller than the sum of its proper divisors (6910807392).

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

3413310048 is a wasteful number, since it uses less digits than its factorization.

3413310048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3413310048 is about 58423.5401871540. The cubic root of 3413310048 is about 1505.6542223991.

The spelling of 3413310048 in words is "three billion, four hundred thirteen million, three hundred ten thousand, forty-eight".