3353996160 has 640 divisors, whose sum is σ = 13062772800. Its totient is φ = 817496064.

The previous prime is 3353996159. The next prime is 3353996167. The reversal of 3353996160 is 616993533.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3353996160² = 22498580482589491200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353996167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34577232 + ... + 34577328.

Almost surely, 2^3353996160 is an apocalyptic number.

3353996160 is a gapful number since it is divisible by the number (30) 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 3353996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531386400).

3353996160 is an abundant number, since it is smaller than the sum of its proper divisors (9708776640).

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

3353996160 is a wasteful number, since it uses less digits than its factorization.

3353996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The square root of 3353996160 is about 57913.6957895108. The cubic root of 3353996160 is about 1496.8818425543.

The spelling of 3353996160 in words is "three billion, three hundred fifty-three million, nine hundred ninety-six thousand, one hundred sixty".