3948624 has 60 divisors (see below), whose sum is σ = 11707956. Its totient is φ = 1238016.

The previous prime is 3948619. The next prime is 3948653. The reversal of 3948624 is 4268493.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 1166400 = 1668^2 + 1080^2 .

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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1642 + ... + 3254.

Almost surely, 2^3948624 is an apocalyptic number.

3948624 is a gapful number since it is divisible by the number (34) 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 3948624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853978).

3948624 is an abundant number, since it is smaller than the sum of its proper divisors (7759332).

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

3948624 is a wasteful number, since it uses less digits than its factorization.

3948624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3948624 is about 1987.1144909139. The cubic root of 3948624 is about 158.0575552747.

The spelling of 3948624 in words is "three million, nine hundred forty-eight thousand, six hundred twenty-four".