3675657216 has 352 divisors, whose sum is σ = 12545326080. Its totient is φ = 928972800.

The previous prime is 3675657199. The next prime is 3675657221. The reversal of 3675657216 is 6127565763.

It is a tau number, because it is divible by the number of its divisors (352).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9698115 + ... + 9698493.

Almost surely, 2^3675657216 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 3675657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272663040).

3675657216 is an abundant number, since it is smaller than the sum of its proper divisors (8869668864).

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

3675657216 is a wasteful number, since it uses less digits than its factorization.

3675657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

The square root of 3675657216 is about 60627.1986487913. The cubic root of 3675657216 is about 1543.2809702960.

The spelling of 3675657216 in words is "three billion, six hundred seventy-five million, six hundred fifty-seven thousand, two hundred sixteen".