3407200641 has 24 divisors (see below), whose sum is σ = 5305587560. Its totient is φ = 2094564096.

The previous prime is 3407200591. The next prime is 3407200649. The reversal of 3407200641 is 1460027043.

It can be written as a sum of positive squares in 4 ways, for example, as 415548225 + 2991652416 = 20385^2 + 54696^2 .

It is not a de Polignac number, because 3407200641 - 2¹⁸ = 3406938497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3407200649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102045 + ... + 131253.

Almost surely, 2^3407200641 is an apocalyptic number.

It is an amenable number.

3407200641 is a deficient number, since it is larger than the sum of its proper divisors (1898386919).

3407200641 is a wasteful number, since it uses less digits than its factorization.

3407200641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30225 (or 30222 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3407200641 is about 58371.2312787729. The cubic root of 3407200641 is about 1504.7553736828.

Adding to 3407200641 its reverse (1460027043), we get a palindrome (4867227684).

The spelling of 3407200641 in words is "three billion, four hundred seven million, two hundred thousand, six hundred forty-one".