3312130430400 has 336 divisors, whose sum is σ = 11944932582528. Its totient is φ = 796809728000.

The previous prime is 3312130430393. The next prime is 3312130430423. The reversal of 3312130430400 is 40340312133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6677374 + ... + 7156226.

Almost surely, 2^{3312130430400} is an apocalyptic number.

3312130430400 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 3312130430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972466291264).

3312130430400 is an abundant number, since it is smaller than the sum of its proper divisors (8632802152128).

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

3312130430400 is a wasteful number, since it uses less digits than its factorization.

3312130430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479020 (or 479005 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3312130430400 its reverse (40340312133), we get a palindrome (3352470742533).

The spelling of 3312130430400 in words is "three trillion, three hundred twelve billion, one hundred thirty million, four hundred thirty thousand, four hundred".