3345186816 has 256 divisors, whose sum is σ = 10485600000. Its totient is φ = 1051066368.

The previous prime is 3345186809. The next prime is 3345186829. The reversal of 3345186816 is 6186815433.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×3345186816² = 22380549667880435712, 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 15 ways as a sum of consecutive naturals, for example, 16809885 + ... + 16810083.

It is an arithmetic number, because the mean of its divisors is an integer number (40959375).

Almost surely, 2^3345186816 is an apocalyptic number.

3345186816 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 3345186816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242800000).

3345186816 is an abundant number, since it is smaller than the sum of its proper divisors (7140413184).

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

3345186816 is an equidigital number, since it uses as much as digits as its factorization.

3345186816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 223 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3345186816 is about 57837.5899912851. The cubic root of 3345186816 is about 1495.5701625719.

The spelling of 3345186816 in words is "three billion, three hundred forty-five million, one hundred eighty-six thousand, eight hundred sixteen".