3413344032 has 144 divisors (see below), whose sum is σ = 11451428352. Its totient is φ = 943764480.

The previous prime is 3413344021. The next prime is 3413344057. The reversal of 3413344032 is 2304433143.

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

It is a junction number, because it is equal to n+sod(n) for n = 3413343987 and 3413344005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35188 + ... + 89804.

It is an arithmetic number, because the mean of its divisors is an integer number (79523808).

Almost surely, 2^3413344032 is an apocalyptic number.

3413344032 is a gapful number since it is divisible by the number (32) 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 3413344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725714176).

3413344032 is an abundant number, since it is smaller than the sum of its proper divisors (8038084320).

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

3413344032 is a wasteful number, since it uses less digits than its factorization.

3413344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54671 (or 54660 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3413344032 is about 58423.8310281002. The cubic root of 3413344032 is about 1505.6592193066.

Adding to 3413344032 its reverse (2304433143), we get a palindrome (5717777175).

The spelling of 3413344032 in words is "three billion, four hundred thirteen million, three hundred forty-four thousand, thirty-two".