3641536374961 has 27 divisors (see below), whose sum is σ = 3735089710443. Its totient is φ = 3550318634880.

The previous prime is 3641536374869. The next prime is 3641536374997. The reversal of 3641536374961 is 1694736351463.

The square root of 3641536374961 is 1908281.

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., 1635188775025 + 2006347599936 = 1278745^2 + 1416456^2 .

It is not a de Polignac number, because 3641536374961 - 2²⁷ = 3641402157233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3641536374896 and 3641536374905.

It is not an unprimeable number, because it can be changed into a prime (3641536374661) 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, 19065635376 + ... + 19065635566.

Almost surely, 2^{3641536374961} is an apocalyptic number.

3641536374961 is the 1908281-st square number.

3641536374961 is the 954141-st centered octagonal number.

It is an amenable number.

3641536374961 is a deficient number, since it is larger than the sum of its proper divisors (93553335482).

3641536374961 is an frugal number, since it uses more digits than its factorization.

3641536374961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 391 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 58.

The spelling of 3641536374961 in words is "three trillion, six hundred forty-one billion, five hundred thirty-six million, three hundred seventy-four thousand, nine hundred sixty-one".