3409558557001 has 9 divisors (see below), whose sum is σ = 3441920844999. Its totient is φ = 3377497794864.

The previous prime is 3409558556863. The next prime is 3409558557043. The reversal of 3409558557001 is 1007558559043.

It is a happy number.

The square root of 3409558557001 is 1846499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 113242345225 + 3296316211776 = 336515^2 + 1815576^2 .

It is not a de Polignac number, because 3409558557001 - 2¹¹ = 3409558554953 is a prime.

It is a super-2 number, since 2×3409558557001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3409558557001.

It is not an unprimeable number, because it can be changed into a prime (3409558557091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197566765 + ... + 197584021.

Almost surely, 2^{3409558557001} is an apocalyptic number.

3409558557001 is the 1846499-th square number.

3409558557001 is the 923250-th centered octagonal number.

It is an amenable number.

3409558557001 is a deficient number, since it is larger than the sum of its proper divisors (32362287998).

3409558557001 is an frugal number, since it uses more digits than its factorization.

3409558557001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34728 (or 17364 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 52.

The spelling of 3409558557001 in words is "three trillion, four hundred nine billion, five hundred fifty-eight million, five hundred fifty-seven thousand, one".