3444228216 has 480 divisors, whose sum is σ = 11895945600. Its totient is φ = 923788800.

The previous prime is 3444228209. The next prime is 3444228223. The reversal of 3444228216 is 6128224443.

It is an interprime number because it is at equal distance from previous prime (3444228209) and next prime (3444228223).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31598370 + ... + 31598478.

It is an arithmetic number, because the mean of its divisors is an integer number (24783220).

Almost surely, 2^3444228216 is an apocalyptic number.

3444228216 is a gapful number since it is divisible by the number (36) 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 3444228216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947972800).

3444228216 is an abundant number, since it is smaller than the sum of its proper divisors (8451717384).

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

3444228216 is a wasteful number, since it uses less digits than its factorization.

3444228216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3444228216 is about 58687.5473673930. The cubic root of 3444228216 is about 1510.1866962119.

The spelling of 3444228216 in words is "three billion, four hundred forty-four million, two hundred twenty-eight thousand, two hundred sixteen".