3310125120 has 84 divisors (see below), whose sum is σ = 11385461100. Its totient is φ = 882699264.

The previous prime is 3310125103. The next prime is 3310125127. The reversal of 3310125120 is 215210133.

It can be written as a sum of positive squares in 2 ways, for example, as 1090584576 + 2219540544 = 33024^2 + 47112^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3310125093 and 3310125102.

It is not an unprimeable number, because it can be changed into a prime (3310125127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571795 + ... + 577554.

Almost surely, 2^3310125120 is an apocalyptic number.

3310125120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3310125120 is an abundant number, since it is smaller than the sum of its proper divisors (8075335980).

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

3310125120 is a wasteful number, since it uses less digits than its factorization.

3310125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149372 (or 1149359 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3310125120 is about 57533.6868278055. The cubic root of 3310125120 is about 1490.3266584074.

Adding to 3310125120 its reverse (215210133), we get a palindrome (3525335253).

The spelling of 3310125120 in words is "three billion, three hundred ten million, one hundred twenty-five thousand, one hundred twenty".