3939264 has 84 divisors (see below), whose sum is σ = 12917424. Its totient is φ = 1124352.

The previous prime is 3939259. The next prime is 3939269. The reversal of 3939264 is 4629393.

It is a happy number.

3939264 is a `hidden beast` number, since 393 + 9 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (3939259) and next prime (3939269).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3939269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3544 + ... + 4520.

Almost surely, 2^3939264 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 3939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458712).

3939264 is an abundant number, since it is smaller than the sum of its proper divisors (8978160).

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

3939264 is a wasteful number, since it uses less digits than its factorization.

3939264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 3939264 is about 1984.7579197474. The cubic root of 3939264 is about 157.9325674967.

The spelling of 3939264 in words is "three million, nine hundred thirty-nine thousand, two hundred sixty-four".