3470221440000 has 2200 divisors, whose sum is σ = 15116452536768. Its totient is φ = 776355840000.

The previous prime is 3470221439987. The next prime is 3470221440029. The reversal of 3470221440000 is 441220743.

3470221440000 is a `hidden beast` number, since 3 + 47 + 0 + 2 + 214 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 26490239935 + ... + 26490240065.

Almost surely, 2^{3470221440000} is an apocalyptic number.

3470221440000 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 3470221440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558226268384).

3470221440000 is an abundant number, since it is smaller than the sum of its proper divisors (11646231096768).

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

3470221440000 is an equidigital number, since it uses as much as digits as its factorization.

3470221440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 3470221440000 its reverse (441220743), we get a palindrome (3470662660743).

The spelling of 3470221440000 in words is "three trillion, four hundred seventy billion, two hundred twenty-one million, four hundred forty thousand".