3360185920 has 448 divisors, whose sum is σ = 10691896320. Its totient is φ = 976453632.

The previous prime is 3360185911. The next prime is 3360185947. The reversal of 3360185920 is 295810633.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3360185920² = 22581698833932492800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3360185920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19422954 + ... + 19423126.

It is an arithmetic number, because the mean of its divisors is an integer number (23865840).

Almost surely, 2^3360185920 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 3360185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345948160).

3360185920 is an abundant number, since it is smaller than the sum of its proper divisors (7331710400).

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

3360185920 is a wasteful number, since it uses less digits than its factorization.

3360185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 3360185920 is about 57967.1106749336. The cubic root of 3360185920 is about 1497.8021025523.

The spelling of 3360185920 in words is "three billion, three hundred sixty million, one hundred eighty-five thousand, nine hundred twenty".