3964268160 has 192 divisors, whose sum is σ = 13725770760. Its totient is φ = 1054310400.

The previous prime is 3964268153. The next prime is 3964268179. The reversal of 3964268160 is 618624693.

3964268160 is a `hidden beast` number, since 3 + 96 + 426 + 81 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3574126656 + 390141504 = 59784^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3000300 + ... + 3001620.

Almost surely, 2^3964268160 is an apocalyptic number.

3964268160 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 3964268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862885380).

3964268160 is an abundant number, since it is smaller than the sum of its proper divisors (9761502600).

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

3964268160 is a wasteful number, since it uses less digits than its factorization.

3964268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3964268160 is about 62962.4345145580. The cubic root of 3964268160 is about 1582.6601771037.

The spelling of 3964268160 in words is "three billion, nine hundred sixty-four million, two hundred sixty-eight thousand, one hundred sixty".