3682975616 has 64 divisors (see below), whose sum is σ = 7501455360. Its totient is φ = 1800691200.

The previous prime is 3682975613. The next prime is 3682975643. The reversal of 3682975616 is 6165792863.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×3682975616³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682975613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1152581 + ... + 1155771.

It is an arithmetic number, because the mean of its divisors is an integer number (117210240).

Almost surely, 2^3682975616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682975616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750727680).

3682975616 is an abundant number, since it is smaller than the sum of its proper divisors (3818479744).

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

3682975616 is a wasteful number, since it uses less digits than its factorization.

3682975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3391 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 3682975616 is about 60687.5243851650. The cubic root of 3682975616 is about 1544.3045387100.

The spelling of 3682975616 in words is "three billion, six hundred eighty-two million, nine hundred seventy-five thousand, six hundred sixteen".