3960169920 has 224 divisors, whose sum is σ = 15966643200. Its totient is φ = 905167872.

The previous prime is 3960169897. The next prime is 3960169933. The reversal of 3960169920 is 299610693.

It is a happy number.

3960169920 is a `hidden beast` number, since 39 + 601 + 6 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 27741 + ... + 93219.

Almost surely, 2^3960169920 is an apocalyptic number.

3960169920 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 3960169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983321600).

3960169920 is an abundant number, since it is smaller than the sum of its proper divisors (12006473280).

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

3960169920 is a wasteful number, since it uses less digits than its factorization.

3960169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65512 (or 65496 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3960169920 is about 62929.8809787529. The cubic root of 3960169920 is about 1582.1146070789.

The spelling of 3960169920 in words is "three billion, nine hundred sixty million, one hundred sixty-nine thousand, nine hundred twenty".