3105345330 has 128 divisors (see below), whose sum is σ = 8757504000. Its totient is φ = 781747200.

The previous prime is 3105345323. The next prime is 3105345349. The reversal of 3105345330 is 335435013.

It is a happy number.

3105345330 is a `hidden beast` number, since 310 + 5 + 345 + 3 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3105345294 and 3105345303.

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, 338646 + ... + 347694.

It is an arithmetic number, because the mean of its divisors is an integer number (68418000).

Almost surely, 2^3105345330 is an apocalyptic number.

3105345330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105345330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378752000).

3105345330 is an abundant number, since it is smaller than the sum of its proper divisors (5652158670).

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

3105345330 is a wasteful number, since it uses less digits than its factorization.

3105345330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9137 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3105345330 is about 55725.6254339061. The cubic root of 3105345330 is about 1458.9373217194.

The spelling of 3105345330 in words is "three billion, one hundred five million, three hundred forty-five thousand, three hundred thirty".