3281685120 has 384 divisors, whose sum is σ = 13047840000. Its totient is φ = 744505344.

The previous prime is 3281685119. The next prime is 3281685131. The reversal of 3281685120 is 215861823.

It is a happy number.

3281685120 is a `hidden beast` number, since 3 + 2 + 81 + 68 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8023476 + ... + 8023884.

It is an arithmetic number, because the mean of its divisors is an integer number (33978750).

Almost surely, 2^3281685120 is an apocalyptic number.

3281685120 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 3281685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523920000).

3281685120 is an abundant number, since it is smaller than the sum of its proper divisors (9766154880).

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

3281685120 is a wasteful number, since it uses less digits than its factorization.

3281685120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 3281685120 is about 57285.9940997797. The cubic root of 3281685120 is about 1486.0461695878.

The spelling of 3281685120 in words is "three billion, two hundred eighty-one million, six hundred eighty-five thousand, one hundred twenty".