3658721472 has 336 divisors, whose sum is σ = 12736738560. Its totient is φ = 980895744.

The previous prime is 3658721471. The next prime is 3658721477. The reversal of 3658721472 is 2741278563.

3658721472 is a `hidden beast` number, since 3 + 6 + 587 + 21 + 47 + 2 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (3658721471) 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, 12486958 + ... + 12487250.

It is an arithmetic number, because the mean of its divisors is an integer number (37906960).

Almost surely, 2^3658721472 is an apocalyptic number.

3658721472 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 3658721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368369280).

3658721472 is an abundant number, since it is smaller than the sum of its proper divisors (9078017088).

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

3658721472 is a wasteful number, since it uses less digits than its factorization.

3658721472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 3658721472 is about 60487.3662180790. The cubic root of 3658721472 is about 1540.9070767937.

The spelling of 3658721472 in words is "three billion, six hundred fifty-eight million, seven hundred twenty-one thousand, four hundred seventy-two".