3992064 has 80 divisors (see below), whose sum is σ = 11195712. Its totient is φ = 1261568.

The previous prime is 3992057. The next prime is 3992069. The reversal of 3992064 is 4602993.

3992064 = 662² + 663² + ... + 670².

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3992069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35272 + ... + 35384.

Almost surely, 2^3992064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5597856).

3992064 is an abundant number, since it is smaller than the sum of its proper divisors (7203648).

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

3992064 is a wasteful number, since it uses less digits than its factorization.

3992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3992064 is about 1998.0150149586. The cubic root of 3992064 is about 158.6350555704.

The spelling of 3992064 in words is "three million, nine hundred ninety-two thousand, sixty-four".