3332004240 has 80 divisors (see below), whose sum is σ = 10362658176. Its totient is φ = 885657600.

The previous prime is 3332004239. The next prime is 3332004287. The reversal of 3332004240 is 424002333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3332004240² = 22204504510755955200, which contains 22 as substring.

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, 52320 + ... + 96960.

Almost surely, 2^3332004240 is an apocalyptic number.

3332004240 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 3332004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181329088).

3332004240 is an abundant number, since it is smaller than the sum of its proper divisors (7030653936).

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

3332004240 is a wasteful number, since it uses less digits than its factorization.

3332004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44968 (or 44962 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3332004240 is about 57723.5154854588. The cubic root of 3332004240 is about 1493.6030156196.

Adding to 3332004240 its reverse (424002333), we get a palindrome (3756006573).

The spelling of 3332004240 in words is "three billion, three hundred thirty-two million, four thousand, two hundred forty".