3332404512 has 72 divisors (see below), whose sum is σ = 9514486800. Its totient is φ = 1106352000.

The previous prime is 3332404501. The next prime is 3332404553. The reversal of 3332404512 is 2154042333.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3332404512² = 22209839663195916288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49239 + ... + 95337.

It is an arithmetic number, because the mean of its divisors is an integer number (132145650).

Almost surely, 2^3332404512 is an apocalyptic number.

3332404512 is a gapful number since it is divisible by the number (32) 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 3332404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757243400).

3332404512 is an abundant number, since it is smaller than the sum of its proper divisors (6182082288).

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

3332404512 is a wasteful number, since it uses less digits than its factorization.

3332404512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46366 (or 46355 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3332404512 is about 57726.9825298361. The cubic root of 3332404512 is about 1493.6628218188.

Adding to 3332404512 its reverse (2154042333), we get a palindrome (5486446845).

The spelling of 3332404512 in words is "three billion, three hundred thirty-two million, four hundred four thousand, five hundred twelve".