3605207616 has 140 divisors (see below), whose sum is σ = 11055941820. Its totient is φ = 1160248320.

The previous prime is 3605207609. The next prime is 3605207653. The reversal of 3605207616 is 6167025063.

3605207616 is a `hidden beast` number, since 3 + 60 + 520 + 76 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 571401216 + 3033806400 = 23904^2 + 55080^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138346 + ... + 162326.

It is an arithmetic number, because the mean of its divisors is an integer number (78971013).

Almost surely, 2^3605207616 is an apocalyptic number.

3605207616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3605207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527970910).

3605207616 is an abundant number, since it is smaller than the sum of its proper divisors (7450734204).

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

3605207616 is a wasteful number, since it uses less digits than its factorization.

3605207616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24034 (or 24015 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3605207616 is about 60043.3811173222. The cubic root of 3605207616 is about 1533.3575171149.

The spelling of 3605207616 in words is "three billion, six hundred five million, two hundred seven thousand, six hundred sixteen".