3313130240 has 144 divisors (see below), whose sum is σ = 9120589632. Its totient is φ = 1129562112.

The previous prime is 3313130147. The next prime is 3313130269. The reversal of 3313130240 is 420313133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764182 + ... + 1766058.

It is an arithmetic number, because the mean of its divisors is an integer number (63337428).

Almost surely, 2^3313130240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560294816).

3313130240 is an abundant number, since it is smaller than the sum of its proper divisors (5807459392).

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

3313130240 is a wasteful number, since it uses less digits than its factorization.

3313130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2088 counting only the distinct ones).

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

The square root of 3313130240 is about 57559.7970809488. The cubic root of 3313130240 is about 1490.7775231185. Note that the first 3 decimals are identical.

Adding to 3313130240 its reverse (420313133), we get a palindrome (3733443373).

The spelling of 3313130240 in words is "three billion, three hundred thirteen million, one hundred thirty thousand, two hundred forty".