3964656960 has 504 divisors, whose sum is σ = 15514856448. Its totient is φ = 927590400.

The previous prime is 3964656919. The next prime is 3964656973. The reversal of 3964656960 is 696564693.

It is a happy number.

3964656960 is a `hidden beast` number, since 3 + 96 + 465 + 6 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3964656897 and 3964656906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10802697 + ... + 10803063.

Almost surely, 2^3964656960 is an apocalyptic number.

3964656960 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 3964656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757428224).

3964656960 is an abundant number, since it is smaller than the sum of its proper divisors (11550199488).

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

3964656960 is a wasteful number, since it uses less digits than its factorization.

3964656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 3964656960 is about 62965.5219941835. The cubic root of 3964656960 is about 1582.7119157968.

The spelling of 3964656960 in words is "three billion, nine hundred sixty-four million, six hundred fifty-six thousand, nine hundred sixty".