3658458144 has 96 divisors (see below), whose sum is σ = 10514629440. Its totient is φ = 1104588800.

The previous prime is 3658458127. The next prime is 3658458187. The reversal of 3658458144 is 4418548563.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3658458093 and 3658458102.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 290572 + ... + 302900.

It is an arithmetic number, because the mean of its divisors is an integer number (109527390).

Almost surely, 2^3658458144 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 3658458144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257314720).

3658458144 is an abundant number, since it is smaller than the sum of its proper divisors (6856171296).

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

3658458144 is a wasteful number, since it uses less digits than its factorization.

3658458144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 12626 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 3658458144 is about 60485.1894599000. The cubic root of 3658458144 is about 1540.8701081680.

The spelling of 3658458144 in words is "three billion, six hundred fifty-eight million, four hundred fifty-eight thousand, one hundred forty-four".