3413641605732 has 144 divisors (see below), whose sum is σ = 9473114851200. Its totient is φ = 1031659453440.

The previous prime is 3413641605659. The next prime is 3413641605757. The reversal of 3413641605732 is 2375061463143.

3413641605732 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 6 + 4 + 1 + 605 + 7 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7572307 + ... + 8010437.

It is an arithmetic number, because the mean of its divisors is an integer number (65785519800).

Almost surely, 2^{3413641605732} 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 3413641605732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736557425600).

3413641605732 is an abundant number, since it is smaller than the sum of its proper divisors (6059473245468).

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

3413641605732 is a wasteful number, since it uses less digits than its factorization.

3413641605732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438626 (or 438621 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3413641605732 in words is "three trillion, four hundred thirteen billion, six hundred forty-one million, six hundred five thousand, seven hundred thirty-two".