3960178560 has 768 divisors, whose sum is σ = 16308331200. Its totient is φ = 902430720.

The previous prime is 3960178559. The next prime is 3960178567. The reversal of 3960178560 is 658710693.

It is a happy number.

3960178560 is a `hidden beast` number, since 39 + 601 + 7 + 8 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960178567) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 64920930 + ... + 64920990.

Almost surely, 2^3960178560 is an apocalyptic number.

3960178560 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 3960178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154165600).

3960178560 is an abundant number, since it is smaller than the sum of its proper divisors (12348152640).

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

3960178560 is a wasteful number, since it uses less digits than its factorization.

3960178560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3960178560 is about 62929.9496265490. The cubic root of 3960178560 is about 1582.1157576575.

The spelling of 3960178560 in words is "three billion, nine hundred sixty million, one hundred seventy-eight thousand, five hundred sixty".