3948120 has 96 divisors (see below), whose sum is σ = 14011920. Its totient is φ = 956160.

The previous prime is 3948101. The next prime is 3948121. The reversal of 3948120 is 218493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3462 + ... + 4458.

Almost surely, 2^3948120 is an apocalyptic number.

3948120 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 3948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005960).

3948120 is an abundant number, since it is smaller than the sum of its proper divisors (10063800).

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

3948120 is a wasteful number, since it uses less digits than its factorization.

3948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3948120 is about 1986.9876698158. The cubic root of 3948120 is about 158.0508301980.

The spelling of 3948120 in words is "three million, nine hundred forty-eight thousand, one hundred twenty".