3720816 has 140 divisors (see below), whose sum is σ = 12197880. Its totient is φ = 1088640.

The previous prime is 3720811. The next prime is 3720839. The reversal of 3720816 is 6180273.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3720816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720811) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 128290 + ... + 128318.

Almost surely, 2^3720816 is an apocalyptic number.

3720816 is a gapful number since it is divisible by the number (36) 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 3720816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098940).

3720816 is an abundant number, since it is smaller than the sum of its proper divisors (8477064).

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

3720816 is a wasteful number, since it uses less digits than its factorization.

3720816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3720816 is about 1928.9416787451. The cubic root of 3720816 is about 154.9575464725.

The spelling of 3720816 in words is "three million, seven hundred twenty thousand, eight hundred sixteen".