3312010400 has 144 divisors (see below), whose sum is σ = 8253456120. Its totient is φ = 1297612800.

The previous prime is 3312010367. The next prime is 3312010409. The reversal of 3312010400 is 40102133.

It can be written as a sum of positive squares in 12 ways, for example, as 18627856 + 3293382544 = 4316^2 + 57388^2 .

It is not an unprimeable number, because it can be changed into a prime (3312010409) 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, 12887072 + ... + 12887328.

Almost surely, 2^3312010400 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 3312010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126728060).

3312010400 is an abundant number, since it is smaller than the sum of its proper divisors (4941445720).

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

3312010400 is a wasteful number, since it uses less digits than its factorization.

3312010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3312010400 is about 57550.0686359278. The cubic root of 3312010400 is about 1490.6095429602.

Adding to 3312010400 its reverse (40102133), we get a palindrome (3352112533).

The spelling of 3312010400 in words is "three billion, three hundred twelve million, ten thousand, four hundred".