3695305152 has 336 divisors, whose sum is σ = 12695545856. Its totient is φ = 927590400.

The previous prime is 3695305151. The next prime is 3695305171. The reversal of 3695305152 is 2515035963.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 3695305152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3695305151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5040978 + ... + 5041710.

Almost surely, 2^3695305152 is an apocalyptic number.

3695305152 is a gapful number since it is divisible by the number (32) 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 3695305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6347772928).

3695305152 is an abundant number, since it is smaller than the sum of its proper divisors (9000240704).

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

3695305152 is a wasteful number, since it uses less digits than its factorization.

3695305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The square root of 3695305152 is about 60789.0216404245. The cubic root of 3695305152 is about 1546.0259140680.

The spelling of 3695305152 in words is "three billion, six hundred ninety-five million, three hundred five thousand, one hundred fifty-two".