3413361632 has 48 divisors (see below), whose sum is σ = 6884559360. Its totient is φ = 1665383808.

The previous prime is 3413361631. The next prime is 3413361661. The reversal of 3413361632 is 2361633143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413361631) 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 7 ways as a sum of consecutive naturals, for example, 221969 + ... + 236847.

It is an arithmetic number, because the mean of its divisors is an integer number (143428320).

Almost surely, 2^3413361632 is an apocalyptic number.

3413361632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3413361632 is an abundant number, since it is smaller than the sum of its proper divisors (3471197728).

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

3413361632 is a wasteful number, since it uses less digits than its factorization.

3413361632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15063 (or 15055 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The square root of 3413361632 is about 58423.9816513733. The cubic root of 3413361632 is about 1505.6618071458.

Adding to 3413361632 its reverse (2361633143), we get a palindrome (5774994775).

The spelling of 3413361632 in words is "three billion, four hundred thirteen million, three hundred sixty-one thousand, six hundred thirty-two".