3720144 has 80 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1130496.

The previous prime is 3720137. The next prime is 3720151. The reversal of 3720144 is 4410273.

3720144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3720137) and next prime (3720151).

It is a self number, because there is not a number n which added to its sum of digits gives 3720144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38304 + ... + 38400.

Almost surely, 2^3720144 is an apocalyptic number.

3720144 is a gapful number since it is divisible by the number (34) 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 3720144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3720144 is an abundant number, since it is smaller than the sum of its proper divisors (6779184).

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

3720144 is a wasteful number, since it uses less digits than its factorization.

3720144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3720144 is about 1928.7674820983. The cubic root of 3720144 is about 154.9482171802.

The spelling of 3720144 in words is "three million, seven hundred twenty thousand, one hundred forty-four".