3658909320 has 672 divisors, whose sum is σ = 14600862360. Its totient is φ = 821145600.

The previous prime is 3658909313. The next prime is 3658909333. The reversal of 3658909320 is 239098563.

3658909320 is a `hidden beast` number, since 36 + 589 + 0 + 9 + 32 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2430687204 + 1228222116 = 49302^2 + 35046^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 59982090 + ... + 59982150.

Almost surely, 2^3658909320 is an apocalyptic number.

3658909320 is a gapful number since it is divisible by the number (30) 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 3658909320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300431180).

3658909320 is an abundant number, since it is smaller than the sum of its proper divisors (10941953040).

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

3658909320 is a wasteful number, since it uses less digits than its factorization.

3658909320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3658909320 is about 60488.9189852158. The cubic root of 3658909320 is about 1540.9334476959.

The spelling of 3658909320 in words is "three billion, six hundred fifty-eight million, nine hundred nine thousand, three hundred twenty".