3491849085201 has 81 divisors (see below), whose sum is σ = 5304916746441. Its totient is φ = 2213227875600.

The previous prime is 3491849085047. The next prime is 3491849085211. The reversal of 3491849085201 is 1025809481943.

It is a happy number.

The square root of 3491849085201 is 1868649.

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

3491849085201 is a `hidden beast` number, since 3 + 49 + 18 + 490 + 85 + 20 + 1 = 666.

It is not a de Polignac number, because 3491849085201 - 2¹⁹ = 3491848560913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3491849085211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12338689206 + ... + 12338689488.

Almost surely, 2^{3491849085201} is an apocalyptic number.

3491849085201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3491849085201 is the 1868649-th square number.

3491849085201 is the 934325-th centered octagonal number.

It is an amenable number.

3491849085201 is a deficient number, since it is larger than the sum of its proper divisors (1813067661240).

3491849085201 is an frugal number, since it uses more digits than its factorization.

3491849085201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3491849085201 in words is "three trillion, four hundred ninety-one billion, eight hundred forty-nine million, eighty-five thousand, two hundred one".