3320243231400 has 144 divisors (see below), whose sum is σ = 11158072623360. Its totient is φ = 884795587200.

The previous prime is 3320243231359. The next prime is 3320243231401. The reversal of 3320243231400 is 41323420233.

3320243231400 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 24 + 3 + 231 + 400 = 666.

It is a super-2 number, since 2×3320243231400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320243231401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2020819 + ... + 3274781.

It is an arithmetic number, because the mean of its divisors is an integer number (77486615440).

Almost surely, 2^{3320243231400} is an apocalyptic number.

3320243231400 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 3320243231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579036311680).

3320243231400 is an abundant number, since it is smaller than the sum of its proper divisors (7837829391960).

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

3320243231400 is a wasteful number, since it uses less digits than its factorization.

3320243231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255456 (or 1255444 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3320243231400 its reverse (41323420233), we get a palindrome (3361566651633).

The spelling of 3320243231400 in words is "three trillion, three hundred twenty billion, two hundred forty-three million, two hundred thirty-one thousand, four hundred".