3921120 has 144 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 893952.

The previous prime is 3921089. The next prime is 3921121. The reversal of 3921120 is 211293.

It is a happy number.

3921120 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

3921120 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3921093 and 3921102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921121) 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, 9886 + ... + 10274.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

Almost surely, 2^3921120 is an apocalyptic number.

3921120 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 3921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

3921120 is an abundant number, since it is smaller than the sum of its proper divisors (11410560).

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

3921120 is a wasteful number, since it uses less digits than its factorization.

3921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 3921120 is about 1980.1818098346. The cubic root of 3921120 is about 157.6897184706.

The spelling of 3921120 in words is "three million, nine hundred twenty-one thousand, one hundred twenty".