3964128 has 96 divisors (see below), whose sum is σ = 12628224. Its totient is φ = 1062912.

The previous prime is 3964123. The next prime is 3964133. The reversal of 3964128 is 8214693.

It is an interprime number because it is at equal distance from previous prime (3964123) and next prime (3964133).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3964128³ (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

Its product of digits (10368) is a multiple of the sum of its prime factors (384).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3964123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11251 + ... + 11597.

It is an arithmetic number, because the mean of its divisors is an integer number (131544).

Almost surely, 2^3964128 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 3964128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112).

3964128 is an abundant number, since it is smaller than the sum of its proper divisors (8664096).

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

3964128 is a wasteful number, since it uses less digits than its factorization.

3964128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3964128 is about 1991.0118030790. The cubic root of 3964128 is about 158.2641524795.

The spelling of 3964128 in words is "three million, nine hundred sixty-four thousand, one hundred twenty-eight".