3408812160 has 256 divisors, whose sum is σ = 11990401920. Its totient is φ = 818380800.

The previous prime is 3408812123. The next prime is 3408812167. The reversal of 3408812160 is 612188043.

It is not an unprimeable number, because it can be changed into a prime (3408812167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021695 + ... + 1025025.

Almost surely, 2^3408812160 is an apocalyptic number.

3408812160 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 3408812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995200960).

3408812160 is an abundant number, since it is smaller than the sum of its proper divisors (8581589760).

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

3408812160 is a wasteful number, since it uses less digits than its factorization.

3408812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3408812160 is about 58385.0336987143. The cubic root of 3408812160 is about 1504.9925732609.

The spelling of 3408812160 in words is "three billion, four hundred eight million, eight hundred twelve thousand, one hundred sixty".