3602085696 has 168 divisors, whose sum is σ = 11293315488. Its totient is φ = 1088640000.

The previous prime is 3602085677. The next prime is 3602085701. The reversal of 3602085696 is 6965802063.

It is a happy number.

3602085696 is a `hidden beast` number, since 3 + 60 + 20 + 8 + 569 + 6 = 666.

It is a super-2 number, since 2×3602085696² = 25950042722655608832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4441131 + ... + 4441941.

It is an arithmetic number, because the mean of its divisors is an integer number (67222116).

Almost surely, 2^3602085696 is an apocalyptic number.

3602085696 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 3602085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646657744).

3602085696 is an abundant number, since it is smaller than the sum of its proper divisors (7691229792).

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

3602085696 is a wasteful number, since it uses less digits than its factorization.

3602085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3602085696 is about 60017.3782832939. The cubic root of 3602085696 is about 1532.9147870011.

The spelling of 3602085696 in words is "three billion, six hundred two million, eighty-five thousand, six hundred ninety-six".