3685345272 has 288 divisors, whose sum is σ = 12588404400. Its totient is φ = 967292928.

The previous prime is 3685345271. The next prime is 3685345283. The reversal of 3685345272 is 2725435863.

3685345272 is a `hidden beast` number, since 3 + 68 + 534 + 52 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685345271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2578254 + ... + 2579682.

Almost surely, 2^3685345272 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 3685345272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6294202200).

3685345272 is an abundant number, since it is smaller than the sum of its proper divisors (8903059128).

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

3685345272 is a wasteful number, since it uses less digits than its factorization.

3685345272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1501 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3685345272 is about 60707.0446653434. The cubic root of 3685345272 is about 1544.6356736702.

The spelling of 3685345272 in words is "three billion, six hundred eighty-five million, three hundred forty-five thousand, two hundred seventy-two".