3332103120 has 120 divisors (see below), whose sum is σ = 11301354792. Its totient is φ = 879744000.

The previous prime is 3332103097. The next prime is 3332103133. The reversal of 3332103120 is 213012333.

3332103120 is a `hidden beast` number, since 33 + 321 + 0 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2310917184 + 1021185936 = 48072^2 + 31956^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3332103120² = 22205822404627468800, which contains 22 as substring.

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 = 3332103093 and 3332103102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49810 + ... + 95630.

Almost surely, 2^3332103120 is an apocalyptic number.

3332103120 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 3332103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5650677396).

3332103120 is an abundant number, since it is smaller than the sum of its proper divisors (7969251672).

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

3332103120 is a wasteful number, since it uses less digits than its factorization.

3332103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45941 (or 45932 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3332103120 is about 57724.3719757955. The cubic root of 3332103120 is about 1493.6177901111.

Adding to 3332103120 its reverse (213012333), we get a palindrome (3545115453).

The spelling of 3332103120 in words is "three billion, three hundred thirty-two million, one hundred three thousand, one hundred twenty".