3741120 has 112 divisors (see below), whose sum is σ = 13228320. Its totient is φ = 995328.

The previous prime is 3741113. The next prime is 3741121. The reversal of 3741120 is 211473.

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

It is a junction number, because it is equal to n+sod(n) for n = 3741093 and 3741102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8424 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (118110).

Almost surely, 2^3741120 is an apocalyptic number.

3741120 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 3741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6614160).

3741120 is an abundant number, since it is smaller than the sum of its proper divisors (9487200).

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

3741120 is a wasteful number, since it uses less digits than its factorization.

3741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3741120 is about 1934.1975080120. The cubic root of 3741120 is about 155.2388962630.

Adding to 3741120 its reverse (211473), we get a palindrome (3952593).

The spelling of 3741120 in words is "three million, seven hundred forty-one thousand, one hundred twenty".