3395841120 has 864 divisors, whose sum is σ = 15125292000. Its totient is φ = 687439872.

The previous prime is 3395841073. The next prime is 3395841173. The reversal of 3395841120 is 211485933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 22790806 + ... + 22790954.

It is an arithmetic number, because the mean of its divisors is an integer number (17506125).

Almost surely, 2^3395841120 is an apocalyptic number.

3395841120 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 3395841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562646000).

3395841120 is an abundant number, since it is smaller than the sum of its proper divisors (11729450880).

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

3395841120 is a wasteful number, since it uses less digits than its factorization.

3395841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3395841120 is about 58273.8459345185. The cubic root of 3395841120 is about 1503.0812396410.

It can be divided in two parts, 33958 and 41120, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 3395841120 in words is "three billion, three hundred ninety-five million, eight hundred forty-one thousand, one hundred twenty".