3964927680 has 672 divisors, whose sum is σ = 17254508544. Its totient is φ = 814252032.

The previous prime is 3964927667. The next prime is 3964927691. The reversal of 3964927680 is 867294693.

It is a happy number.

3964927680 is a `hidden beast` number, since 3 + 9 + 6 + 492 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7882309 + ... + 7882811.

It is an arithmetic number, because the mean of its divisors is an integer number (25676352).

Almost surely, 2^3964927680 is an apocalyptic number.

3964927680 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 3964927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8627254272).

3964927680 is an abundant number, since it is smaller than the sum of its proper divisors (13289580864).

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

3964927680 is a wasteful number, since it uses less digits than its factorization.

3964927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3964927680 is about 62967.6717054077. The cubic root of 3964927680 is about 1582.7479392596.

The spelling of 3964927680 in words is "three billion, nine hundred sixty-four million, nine hundred twenty-seven thousand, six hundred eighty".