3641586961 has 8 divisors (see below), whose sum is σ = 3694299840. Its totient is φ = 3589220208.

The previous prime is 3641586917. The next prime is 3641586973. The reversal of 3641586961 is 1696851463.

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 3641586961 - 2²⁵ = 3608032529 is a prime.

It is a super-2 number, since 2×3641586961² = 26522311189050431042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3641586161) 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, 65301 + ... + 107458.

It is an arithmetic number, because the mean of its divisors is an integer number (461787480).

Almost surely, 2^3641586961 is an apocalyptic number.

It is an amenable number.

3641586961 is a deficient number, since it is larger than the sum of its proper divisors (52712879).

3641586961 is a wasteful number, since it uses less digits than its factorization.

3641586961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173063.

The product of its digits is 933120, while the sum is 49.

The square root of 3641586961 is about 60345.5628940521. The cubic root of 3641586961 is about 1538.4978551246.

The spelling of 3641586961 in words is "three billion, six hundred forty-one million, five hundred eighty-six thousand, nine hundred sixty-one".