3952672 has 24 divisors (see below), whose sum is σ = 7843500. Its totient is φ = 1960704.

The previous prime is 3952651. The next prime is 3952679. The reversal of 3952672 is 2762593.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 126736 = 1956^2 + 356^2 .

It is a d-powerful number, because it can be written as 3¹³ + 9⁴ + 5 + 2¹⁷ + 6⁸ + 7⁵ + 2¹⁹ .

It is not an unprimeable number, because it can be changed into a prime (3952679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4354 + ... + 5182.

Almost surely, 2^3952672 is an apocalyptic number.

3952672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3952672 is a deficient number, since it is larger than the sum of its proper divisors (3890828).

3952672 is a wasteful number, since it uses less digits than its factorization.

3952672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 3952672 is about 1988.1327923456. The cubic root of 3952672 is about 158.1115486378. Note that the first 3 decimals are identical.

It can be divided in two parts, 3952 and 672, that added together give a square (4624 = 68²).

The spelling of 3952672 in words is "three million, nine hundred fifty-two thousand, six hundred seventy-two".