3320400512 has 128 divisors (see below), whose sum is σ = 7810931520. Its totient is φ = 1386086400.

The previous prime is 3320400481. The next prime is 3320400521. The reversal of 3320400512 is 2150040233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3320400512² = 22050119120179724288, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5179712 + ... + 5180352.

Almost surely, 2^3320400512 is an apocalyptic number.

3320400512 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 3320400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905465760).

3320400512 is an abundant number, since it is smaller than the sum of its proper divisors (4490531008).

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

3320400512 is a wasteful number, since it uses less digits than its factorization.

3320400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3320400512 is about 57622.9165523579. The cubic root of 3320400512 is about 1491.8671713886.

Adding to 3320400512 its reverse (2150040233), we get a palindrome (5470440745).

The spelling of 3320400512 in words is "three billion, three hundred twenty million, four hundred thousand, five hundred twelve".