3616526160 has 120 divisors (see below), whose sum is σ = 13079803464. Its totient is φ = 890219520.

The previous prime is 3616526159. The next prime is 3616526167. The reversal of 3616526160 is 616256163.

3616526160 is a `hidden beast` number, since 3 + 616 + 5 + 26 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227889216 + 3388636944 = 15096^2 + 58212^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3616526160² = 26158522931928691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3616526167) 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 23 ways as a sum of consecutive naturals, for example, 183831 + ... + 202550.

Almost surely, 2^3616526160 is an apocalyptic number.

3616526160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3616526160 is an abundant number, since it is smaller than the sum of its proper divisors (9463277304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3616526160 is a wasteful number, since it uses less digits than its factorization.

3616526160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386413 (or 386404 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3616526160 is about 60137.5603096767. The cubic root of 3616526160 is about 1534.9604986528.

The spelling of 3616526160 in words is "three billion, six hundred sixteen million, five hundred twenty-six thousand, one hundred sixty".