3398751216 has 240 divisors, whose sum is σ = 11711631360. Its totient is φ = 898698240.

The previous prime is 3398751203. The next prime is 3398751221. The reversal of 3398751216 is 6121578933.

3398751216 is a `hidden beast` number, since 33 + 98 + 7 + 512 + 16 = 666.

3398751216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3398751216² = 23103019656522957312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 716340 + ... + 721068.

It is an arithmetic number, because the mean of its divisors is an integer number (48798464).

Almost surely, 2^3398751216 is an apocalyptic number.

3398751216 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 3398751216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855815680).

3398751216 is an abundant number, since it is smaller than the sum of its proper divisors (8312880144).

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

3398751216 is a wasteful number, since it uses less digits than its factorization.

3398751216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4795 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 3398751216 is about 58298.8097305597. The cubic root of 3398751216 is about 1503.5104766268.

The spelling of 3398751216 in words is "three billion, three hundred ninety-eight million, seven hundred fifty-one thousand, two hundred sixteen".