3489198336 has 432 divisors, whose sum is σ = 11670422400. Its totient is φ = 1026514944.

The previous prime is 3489198331. The next prime is 3489198379. The reversal of 3489198336 is 6338919843.

3489198336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (3489198331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33875661 + ... + 33875763.

Almost surely, 2^3489198336 is an apocalyptic number.

3489198336 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 3489198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835211200).

3489198336 is an abundant number, since it is smaller than the sum of its proper divisors (8181224064).

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

3489198336 is a wasteful number, since it uses less digits than its factorization.

3489198336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 150 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3489198336 is about 59069.4365640980. The cubic root of 3489198336 is about 1516.7309614467.

The spelling of 3489198336 in words is "three billion, four hundred eighty-nine million, one hundred ninety-eight thousand, three hundred thirty-six".