3322004040 has 96 divisors (see below), whose sum is σ = 10808174520. Its totient is φ = 884911104.

The previous prime is 3322004003. The next prime is 3322004047. The reversal of 3322004040 is 404002233.

It can be written as a sum of positive squares in 4 ways, for example, as 3046377636 + 275626404 = 55194^2 + 16602^2 .

It is a super-2 number, since 2×3322004040² = 22071421683552643200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3322004047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 367414 + ... + 376346.

Almost surely, 2^3322004040 is an apocalyptic number.

3322004040 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 3322004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404087260).

3322004040 is an abundant number, since it is smaller than the sum of its proper divisors (7486170480).

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

3322004040 is a wasteful number, since it uses less digits than its factorization.

3322004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3322004040 is about 57636.8288510046. The cubic root of 3322004040 is about 1492.1072895891.

Adding to 3322004040 its reverse (404002233), we get a palindrome (3726006273).

The spelling of 3322004040 in words is "three billion, three hundred twenty-two million, four thousand, forty".