3960595077120 has 2880 divisors, whose sum is σ = 17208026035200. Its totient is φ = 867129753600.

The previous prime is 3960595077107. The next prime is 3960595077157. The reversal of 3960595077120 is 217705950693.

3960595077120 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 5 + 9 + 507 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59113359327 + ... + 59113359393.

It is an arithmetic number, because the mean of its divisors is an integer number (5975009040).

Almost surely, 2^{3960595077120} is an apocalyptic number.

3960595077120 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 3960595077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604013017600).

3960595077120 is an abundant number, since it is smaller than the sum of its proper divisors (13247430958080).

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

3960595077120 is a wasteful number, since it uses less digits than its factorization.

3960595077120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 3960595077120 in words is "three trillion, nine hundred sixty billion, five hundred ninety-five million, seventy-seven thousand, one hundred twenty".