3416002187049 has 27 divisors (see below), whose sum is σ = 4946823649573. Its totient is φ = 2271535004832.

The previous prime is 3416002186967. The next prime is 3416002187077. The reversal of 3416002187049 is 9407812006143.

The square root of 3416002187049 is 1848243.

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

3416002187049 is a `hidden beast` number, since 34 + 1 + 600 + 2 + 1 + 8 + 7 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 919475785449 + 2496526401600 = 958893^2 + 1580040^2 .

It is not a de Polignac number, because 3416002187049 - 2⁹ = 3416002186537 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3416002186995 and 3416002187013.

It is not an unprimeable number, because it can be changed into a prime (3416002182049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4286075119 + ... + 4286075915.

Almost surely, 2^{3416002187049} is an apocalyptic number.

3416002187049 is the 1848243-rd square number.

3416002187049 is the 924122-nd centered octagonal number.

It is an amenable number.

3416002187049 is a deficient number, since it is larger than the sum of its proper divisors (1530821462524).

3416002187049 is an frugal number, since it uses more digits than its factorization.

3416002187049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3416002187049 in words is "three trillion, four hundred sixteen billion, two million, one hundred eighty-seven thousand, forty-nine".