3695339520 has 288 divisors, whose sum is σ = 12966768360. Its totient is φ = 973209600.

The previous prime is 3695339513. The next prime is 3695339539. The reversal of 3695339520 is 259335963.

3695339520 is a `hidden beast` number, since 3 + 6 + 9 + 533 + 95 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3669451776 + 25887744 = 60576^2 + 5088^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9307962 + ... + 9308358.

Almost surely, 2^3695339520 is an apocalyptic number.

3695339520 is a gapful number since it is divisible by the number (30) 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 3695339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483384180).

3695339520 is an abundant number, since it is smaller than the sum of its proper divisors (9271428840).

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

3695339520 is a wasteful number, since it uses less digits than its factorization.

3695339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 45.

The square root of 3695339520 is about 60789.3043223888. The cubic root of 3695339520 is about 1546.0307069652.

The spelling of 3695339520 in words is "three billion, six hundred ninety-five million, three hundred thirty-nine thousand, five hundred twenty".