3695106816 has 288 divisors, whose sum is σ = 11341747200. Its totient is φ = 1186099200.

The previous prime is 3695106743. The next prime is 3695106817. The reversal of 3695106816 is 6186015963.

3695106816 is a `hidden beast` number, since 3 + 69 + 510 + 68 + 16 = 666.

3695106816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3695106817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36585166 + ... + 36585266.

Almost surely, 2^3695106816 is an apocalyptic number.

3695106816 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 3695106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670873600).

3695106816 is an abundant number, since it is smaller than the sum of its proper divisors (7646640384).

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

3695106816 is a wasteful number, since it uses less digits than its factorization.

3695106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3695106816 is about 60787.3902713383. The cubic root of 3695106816 is about 1545.9982539182.

The spelling of 3695106816 in words is "three billion, six hundred ninety-five million, one hundred six thousand, eight hundred sixteen".