3968064 has 63 divisors (see below), whose sum is σ = 11512423. Its totient is φ = 1306752.

The previous prime is 3968053. The next prime is 3968071. The reversal of 3968064 is 4608693.

The square root of 3968064 is 1992.

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

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47767 + ... + 47849.

Almost surely, 2^3968064 is an apocalyptic number.

3968064 is the 1992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968064

3968064 is an abundant number, since it is smaller than the sum of its proper divisors (7544359).

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

3968064 is an equidigital number, since it uses as much as digits as its factorization.

3968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 3968064 is about 158.3165155421.

Multiplying 3968064 by its sum of digits (36), we get a square (142850304 = 11952²).

3968064 divided by its sum of digits (36) gives a square (110224 = 332²).

The spelling of 3968064 in words is "three million, nine hundred sixty-eight thousand, sixty-four".