3927456 has 72 divisors (see below), whose sum is σ = 12039300. Its totient is φ = 1207296.

The previous prime is 3927449. The next prime is 3927463. The reversal of 3927456 is 6547293.

It is an interprime number because it is at equal distance from previous prime (3927449) and next prime (3927463).

It can be written as a sum of positive squares in 2 ways, for example, as 3920400 + 7056 = 1980^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 + 2⁷ + 7⁶ + 4⁹ + 5⁹ + 6 .

It is a self number, because there is not a number n which added to its sum of digits gives 3927456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3220 + ... + 4268.

Almost surely, 2^3927456 is an apocalyptic number.

3927456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3927456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019650).

3927456 is an abundant number, since it is smaller than the sum of its proper divisors (8111844).

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

3927456 is a wasteful number, since it uses less digits than its factorization.

3927456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1067 counting only the distinct ones).

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

The square root of 3927456 is about 1981.7810171661. The cubic root of 3927456 is about 157.7746078551.

It can be divided in two parts, 39 and 27456, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 3927456 in words is "three million, nine hundred twenty-seven thousand, four hundred fifty-six".