3975264 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1282176.

The previous prime is 3975253. The next prime is 3975269. The reversal of 3975264 is 4625793.

3975264 is a `hidden beast` number, since 397 + 5 + 264 = 666.

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

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

It is a d-powerful number, because it can be written as 3¹³ + 9² + 7³ + 5⁹ + 2¹⁷ + 6⁷ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975269) 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, 37099 + ... + 37205.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^3975264 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 3975264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

3975264 is an abundant number, since it is smaller than the sum of its proper divisors (7999776).

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

3975264 is a wasteful number, since it uses less digits than its factorization.

3975264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3975264 is about 1993.8064098603. The cubic root of 3975264 is about 158.4122120980.

The spelling of 3975264 in words is "three million, nine hundred seventy-five thousand, two hundred sixty-four".