3948420 has 144 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 838656.

The previous prime is 3948383. The next prime is 3948431. The reversal of 3948420 is 248493.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49941 + ... + 50019.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 2^3948420 is an apocalyptic number.

3948420 is a gapful number since it is divisible by the number (30) 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 3948420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3948420 is an abundant number, since it is smaller than the sum of its proper divisors (9841020).

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

3948420 is a wasteful number, since it uses less digits than its factorization.

3948420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3948420 is about 1987.0631595397. The cubic root of 3948420 is about 158.0548332888.

The spelling of 3948420 in words is "three million, nine hundred forty-eight thousand, four hundred twenty".