3948959160 has 96 divisors (see below), whose sum is σ = 12849716880. Its totient is φ = 1051776000.

The previous prime is 3948959141. The next prime is 3948959167. The reversal of 3948959160 is 619598493.

3948959160 is a `hidden beast` number, since 3 + 9 + 48 + 9 + 591 + 6 + 0 = 666.

3948959160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3948959097 and 3948959106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948959167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310935 + ... + 323385.

Almost surely, 2^3948959160 is an apocalyptic number.

3948959160 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 3948959160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6424858440).

3948959160 is an abundant number, since it is smaller than the sum of its proper divisors (8900757720).

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

3948959160 is a wasteful number, since it uses less digits than its factorization.

3948959160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13349 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 3948959160 is about 62840.7444258898. The cubic root of 3948959160 is about 1580.6202713388.

The spelling of 3948959160 in words is "three billion, nine hundred forty-eight million, nine hundred fifty-nine thousand, one hundred sixty".