3331122320 has 20 divisors (see below), whose sum is σ = 7744859580. Its totient is φ = 1332448896.

The previous prime is 3331122283. The next prime is 3331122373. The reversal of 3331122320 is 232211333.

It can be written as a sum of positive squares in 2 ways, for example, as 486820096 + 2844302224 = 22064^2 + 53332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3331122320² = 22192751821604364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3331122292 and 3331122301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20819435 + ... + 20819594.

It is an arithmetic number, because the mean of its divisors is an integer number (387242979).

Almost surely, 2^3331122320 is an apocalyptic number.

It is an amenable number.

3331122320 is an abundant number, since it is smaller than the sum of its proper divisors (4413737260).

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

3331122320 is a wasteful number, since it uses less digits than its factorization.

3331122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41639042 (or 41639036 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3331122320 is about 57715.8758055355. The cubic root of 3331122320 is about 1493.4712276116.

Adding to 3331122320 its reverse (232211333), we get a palindrome (3563333653).

The spelling of 3331122320 in words is "three billion, three hundred thirty-one million, one hundred twenty-two thousand, three hundred twenty".