3695583216 has 320 divisors, whose sum is σ = 11575509120. Its totient is φ = 1004666880.

The previous prime is 3695583179. The next prime is 3695583293. The reversal of 3695583216 is 6123855963.

3695583216 = 9474² + 9475² + ... + 9514².

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 12612766 + ... + 12613058.

It is an arithmetic number, because the mean of its divisors is an integer number (36173466).

Almost surely, 2^3695583216 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 3695583216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787754560).

3695583216 is an abundant number, since it is smaller than the sum of its proper divisors (7879925904).

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

3695583216 is a wasteful number, since it uses less digits than its factorization.

3695583216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 3695583216 is about 60791.3087209019. The cubic root of 3695583216 is about 1546.0646915031.

The spelling of 3695583216 in words is "three billion, six hundred ninety-five million, five hundred eighty-three thousand, two hundred sixteen".