3936008160 has 384 divisors, whose sum is σ = 15968655360. Its totient is φ = 886837248.

The previous prime is 3936008119. The next prime is 3936008183. The reversal of 3936008160 is 618006393.

It is a happy number.

3936008160 is a `hidden beast` number, since 39 + 3 + 600 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2206629 + ... + 2208411.

It is an arithmetic number, because the mean of its divisors is an integer number (41585040).

Almost surely, 2^3936008160 is an apocalyptic number.

3936008160 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 3936008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984327680).

3936008160 is an abundant number, since it is smaller than the sum of its proper divisors (12032647200).

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

3936008160 is a wasteful number, since it uses less digits than its factorization.

3936008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3936008160 is about 62737.6135982235. The cubic root of 3936008160 is about 1578.8904456953.

The spelling of 3936008160 in words is "three billion, nine hundred thirty-six million, eight thousand, one hundred sixty".