3305525160 has 128 divisors (see below), whose sum is σ = 11367832320. Its totient is φ = 753242112.

The previous prime is 3305525149. The next prime is 3305525161. The reversal of 3305525160 is 615255033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3305525161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277242 + ... + 288918.

It is an arithmetic number, because the mean of its divisors is an integer number (88811190).

Almost surely, 2^3305525160 is an apocalyptic number.

3305525160 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 3305525160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683916160).

3305525160 is an abundant number, since it is smaller than the sum of its proper divisors (8062307160).

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

3305525160 is a wasteful number, since it uses less digits than its factorization.

3305525160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12035 (or 12031 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 3305525160 is about 57493.6966979859. The cubic root of 3305525160 is about 1489.6359875307.

The spelling of 3305525160 in words is "three billion, three hundred five million, five hundred twenty-five thousand, one hundred sixty".