3365628500 has 192 divisors, whose sum is σ = 8267628096. Its totient is φ = 1188864000.

The previous prime is 3365628493. The next prime is 3365628529. The reversal of 3365628500 is 58265633.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 3363768004 + 1860496 = 57998^2 + 1364^2 .

It is a super-2 number, since 2×3365628500² = 22654910400024500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19454414 + ... + 19454586.

It is an arithmetic number, because the mean of its divisors is an integer number (43060563).

Almost surely, 2^3365628500 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 3365628500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133814048).

3365628500 is an abundant number, since it is smaller than the sum of its proper divisors (4901999596).

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

3365628500 is a wasteful number, since it uses less digits than its factorization.

3365628500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 3365628500 is about 58014.0370944826. The cubic root of 3365628500 is about 1498.6103425954.

The spelling of 3365628500 in words is "three billion, three hundred sixty-five million, six hundred twenty-eight thousand, five hundred".