3960285120 has 336 divisors, whose sum is σ = 15227503200. Its totient is φ = 936345600.

The previous prime is 3960285103. The next prime is 3960285137. The reversal of 3960285120 is 215820693.

3960285120 is a `hidden beast` number, since 39 + 602 + 8 + 5 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3960285103) and next prime (3960285137).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297356 + ... + 1300404.

It is an arithmetic number, because the mean of its divisors is an integer number (45319950).

Almost surely, 2^3960285120 is an apocalyptic number.

3960285120 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 3960285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613751600).

3960285120 is an abundant number, since it is smaller than the sum of its proper divisors (11267218080).

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

3960285120 is a wasteful number, since it uses less digits than its factorization.

3960285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3111 counting only the distinct ones).

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

The square root of 3960285120 is about 62930.7962765449. The cubic root of 3960285120 is about 1582.1299479893.

The spelling of 3960285120 in words is "three billion, nine hundred sixty million, two hundred eighty-five thousand, one hundred twenty".