3649447872 has 252 divisors, whose sum is σ = 12621630840. Its totient is φ = 1042481664.

The previous prime is 3649447861. The next prime is 3649447877. The reversal of 3649447872 is 2787449463.

3649447872 is a `hidden beast` number, since 36 + 494 + 47 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649447877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 759654 + ... + 764442.

Almost surely, 2^3649447872 is an apocalyptic number.

3649447872 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 3649447872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310815420).

3649447872 is an abundant number, since it is smaller than the sum of its proper divisors (8972182968).

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

3649447872 is an equidigital number, since it uses as much as digits as its factorization.

3649447872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4801 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3649447872 is about 60410.6602513166. The cubic root of 3649447872 is about 1539.6040855520.

It can be divided in two parts, 364944 and 7872, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 3649447872 in words is "three billion, six hundred forty-nine million, four hundred forty-seven thousand, eight hundred seventy-two".