3386853120 has 288 divisors, whose sum is σ = 12453944832. Its totient is φ = 768393216.

The previous prime is 3386853103. The next prime is 3386853167. The reversal of 3386853120 is 213586833.

It is a super-2 number, since 2×3386853120² = 22941548112907468800, 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 31 ways as a sum of consecutive naturals, for example, 4381054 + ... + 4381826.

It is an arithmetic number, because the mean of its divisors is an integer number (43242864).

Almost surely, 2^3386853120 is an apocalyptic number.

3386853120 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 3386853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6226972416).

3386853120 is an abundant number, since it is smaller than the sum of its proper divisors (9067091712).

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

3386853120 is a wasteful number, since it uses less digits than its factorization.

3386853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3386853120 is about 58196.6761937484. The cubic root of 3386853120 is about 1501.7539660471.

The spelling of 3386853120 in words is "three billion, three hundred eighty-six million, eight hundred fifty-three thousand, one hundred twenty".