3957680160 has 288 divisors, whose sum is σ = 15520377600. Its totient is φ = 899610624.

The previous prime is 3957680117. The next prime is 3957680171. The reversal of 3957680160 is 610867593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 2004934 + ... + 2006906.

It is an arithmetic number, because the mean of its divisors is an integer number (53890200).

Almost surely, 2^3957680160 is an apocalyptic number.

3957680160 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 3957680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760188800).

3957680160 is an abundant number, since it is smaller than the sum of its proper divisors (11562697440).

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

3957680160 is a wasteful number, since it uses less digits than its factorization.

3957680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2189 counting only the distinct ones).

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

The square root of 3957680160 is about 62910.0958511430. The cubic root of 3957680160 is about 1581.7829789305.

The spelling of 3957680160 in words is "three billion, nine hundred fifty-seven million, six hundred eighty thousand, one hundred sixty".