3398310216 has 192 divisors, whose sum is σ = 10760330880. Its totient is φ = 948879360.

The previous prime is 3398310211. The next prime is 3398310239. The reversal of 3398310216 is 6120138933.

3398310216 is a `hidden beast` number, since 339 + 8 + 310 + 2 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3398310211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5301256 + ... + 5301896.

It is an arithmetic number, because the mean of its divisors is an integer number (56043390).

Almost surely, 2^3398310216 is an apocalyptic number.

3398310216 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 3398310216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380165440).

3398310216 is an abundant number, since it is smaller than the sum of its proper divisors (7362020664).

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

3398310216 is a wasteful number, since it uses less digits than its factorization.

3398310216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3398310216 is about 58295.0273694078. The cubic root of 3398310216 is about 1503.4454452121.

The spelling of 3398310216 in words is "three billion, three hundred ninety-eight million, three hundred ten thousand, two hundred sixteen".