3661417567 has 8 divisors (see below), whose sum is σ = 3700865600. Its totient is φ = 3622173984.

The previous prime is 3661417561. The next prime is 3661417597. The reversal of 3661417567 is 7657141663.

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 3661417567 - 2³¹ = 1513933919 is a prime.

It is a super-4 number, since 4×3661417567⁴ (a number of 39 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661417561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14967 + ... + 86872.

It is an arithmetic number, because the mean of its divisors is an integer number (462608200).

Almost surely, 2^3661417567 is an apocalyptic number.

3661417567 is a deficient number, since it is larger than the sum of its proper divisors (39448033).

3661417567 is a wasteful number, since it uses less digits than its factorization.

3661417567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102225.

The product of its digits is 635040, while the sum is 46.

The square root of 3661417567 is about 60509.6485446743. The cubic root of 3661417567 is about 1541.2854796369.

The spelling of 3661417567 in words is "three billion, six hundred sixty-one million, four hundred seventeen thousand, five hundred sixty-seven".