3407125305601 has 8 divisors (see below), whose sum is σ = 3443630480424. Its totient is φ = 3370731598080.

The previous prime is 3407125305439. The next prime is 3407125305629. The reversal of 3407125305601 is 1065035217043.

It is a Cunningham number, because it is equal to 1845840²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 3407125305600 = 1^2 + 1845840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3407125305601 - 2¹⁷ = 3407125174529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3407125305691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27805366 + ... + 27927631.

It is an arithmetic number, because the mean of its divisors is an integer number (430453810053).

Almost surely, 2^{3407125305601} is an apocalyptic number.

It is an amenable number.

3407125305601 is a deficient number, since it is larger than the sum of its proper divisors (36505174823).

3407125305601 is a wasteful number, since it uses less digits than its factorization.

3407125305601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55733651.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 3407125305601 in words is "three trillion, four hundred seven billion, one hundred twenty-five million, three hundred five thousand, six hundred one".