3649175712 has 432 divisors, whose sum is σ = 13332114432. Its totient is φ = 957381120.

The previous prime is 3649175689. The next prime is 3649175741. The reversal of 3649175712 is 2175719463.

3649175712 is a `hidden beast` number, since 3 + 64 + 9 + 17 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (317520) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19105537 + ... + 19105727.

It is an arithmetic number, because the mean of its divisors is an integer number (30861376).

Almost surely, 2^3649175712 is an apocalyptic number.

3649175712 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 3649175712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666057216).

3649175712 is an abundant number, since it is smaller than the sum of its proper divisors (9682938720).

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

3649175712 is an equidigital number, since it uses as much as digits as its factorization.

3649175712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3649175712 is about 60408.4076267534. The cubic root of 3649175712 is about 1539.5658122680.

The spelling of 3649175712 in words is "three billion, six hundred forty-nine million, one hundred seventy-five thousand, seven hundred twelve".