3349535616 has 192 divisors, whose sum is σ = 11371776000. Its totient is φ = 926069760.

The previous prime is 3349535591. The next prime is 3349535617. The reversal of 3349535616 is 6165359433.

3349535616 is a `hidden beast` number, since 3 + 34 + 9 + 53 + 561 + 6 = 666.

3349535616 is digitally balanced in base 2 and base 4, because in such bases 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 (192).

It is a super-2 number, since 2×3349535616² = 22438777685704998912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349535617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243285 + ... + 256683.

It is an arithmetic number, because the mean of its divisors is an integer number (59228000).

Almost surely, 2^3349535616 is an apocalyptic number.

3349535616 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 3349535616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685888000).

3349535616 is an abundant number, since it is smaller than the sum of its proper divisors (8022240384).

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

3349535616 is a wasteful number, since it uses less digits than its factorization.

3349535616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13442 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The square root of 3349535616 is about 57875.1727081656. The cubic root of 3349535616 is about 1496.2179708514.

The spelling of 3349535616 in words is "three billion, three hundred forty-nine million, five hundred thirty-five thousand, six hundred sixteen".