3413366352 has 640 divisors, whose sum is σ = 12342067200. Its totient is φ = 890265600.

The previous prime is 3413366311. The next prime is 3413366387. The reversal of 3413366352 is 2536633143.

3413366352 is a `hidden beast` number, since 3 + 4 + 13 + 3 + 6 + 635 + 2 = 666.

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 127 ways as a sum of consecutive naturals, for example, 72624793 + ... + 72624839.

It is an arithmetic number, because the mean of its divisors is an integer number (19284480).

Almost surely, 2^3413366352 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 3413366352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171033600).

3413366352 is an abundant number, since it is smaller than the sum of its proper divisors (8928700848).

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

3413366352 is a wasteful number, since it uses less digits than its factorization.

3413366352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 3413366352 is about 58424.0220457305. The cubic root of 3413366352 is about 1505.6625011557.

Adding to 3413366352 its reverse (2536633143), we get a palindrome (5949999495).

The spelling of 3413366352 in words is "three billion, four hundred thirteen million, three hundred sixty-six thousand, three hundred fifty-two".