3105945360 has 180 divisors, whose sum is σ = 12133925388. Its totient is φ = 709922304.

The previous prime is 3105945313. The next prime is 3105945361. The reversal of 3105945360 is 635495013.

3105945360 is a `hidden beast` number, since 3 + 1 + 0 + 594 + 5 + 3 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1714953744 + 1390991616 = 41412^2 + 37296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3105945361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8739 + ... + 79298.

Almost surely, 2^3105945360 is an apocalyptic number.

3105945360 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 3105945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066962694).

3105945360 is an abundant number, since it is smaller than the sum of its proper divisors (9027980028).

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

3105945360 is a wasteful number, since it uses less digits than its factorization.

3105945360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88070 (or 88054 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3105945360 is about 55731.0089626951. The cubic root of 3105945360 is about 1459.0312833341.

The spelling of 3105945360 in words is "three billion, one hundred five million, nine hundred forty-five thousand, three hundred sixty".