3447318420 has 576 divisors, whose sum is σ = 13826373120. Its totient is φ = 694241280.

The previous prime is 3447318419. The next prime is 3447318449. The reversal of 3447318420 is 248137443.

3447318420 is a `hidden beast` number, since 3 + 4 + 473 + 184 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 47223504 + ... + 47223576.

It is an arithmetic number, because the mean of its divisors is an integer number (24004120).

Almost surely, 2^3447318420 is an apocalyptic number.

3447318420 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 3447318420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913186560).

3447318420 is an abundant number, since it is smaller than the sum of its proper divisors (10379054700).

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

3447318420 is a wasteful number, since it uses less digits than its factorization.

3447318420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3447318420 is about 58713.8690600441. The cubic root of 3447318420 is about 1510.6382139079.

The spelling of 3447318420 in words is "three billion, four hundred forty-seven million, three hundred eighteen thousand, four hundred twenty".