3948840 has 96 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 902016.

The previous prime is 3948839. The next prime is 3948853. The reversal of 3948840 is 488493.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3948795 and 3948804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737 + ... + 3303.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^3948840 is an apocalyptic number.

3948840 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 3948840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

3948840 is an abundant number, since it is smaller than the sum of its proper divisors (10727640).

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

3948840 is a wasteful number, since it uses less digits than its factorization.

3948840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3948840 is about 1987.1688403354. The cubic root of 3948840 is about 158.0604372752.

The spelling of 3948840 in words is "three million, nine hundred forty-eight thousand, eight hundred forty".