3964087521 has 27 divisors (see below), whose sum is σ = 5925321363. Its totient is φ = 2553698160.

The previous prime is 3964087511. The next prime is 3964087531. The reversal of 3964087521 is 1257804693.

The square root of 3964087521 is 62961.

It is a perfect power (a square), and thus also a powerful number.

3964087521 is a `hidden beast` number, since 3 + 9 + 6 + 40 + 87 + 521 = 666.

3964087521 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3964087511) and next prime (3964087531).

It can be written as a sum of positive squares in only one way, i.e., 3940700625 + 23386896 = 62775^2 + 4836^2 .

It is not a de Polignac number, because 3964087521 - 2¹¹ = 3964085473 is a prime.

3964087521 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3964087511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5855035 + ... + 5855711.

It is a 1-persistent number, because it is pandigital, but 2⋅3964087521 = 7928175042 is not.

Almost surely, 2^3964087521 is an apocalyptic number.

3964087521 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3964087521 is the 62961-st square number.

3964087521 is the 31481-st centered octagonal number.

It is an amenable number.

3964087521 is a deficient number, since it is larger than the sum of its proper divisors (1961233842).

3964087521 is an frugal number, since it uses more digits than its factorization.

3964087521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 3964087521 is about 1582.6361378206.

The spelling of 3964087521 in words is "three billion, nine hundred sixty-four million, eighty-seven thousand, five hundred twenty-one".