3807720 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 869760.

The previous prime is 3807709. The next prime is 3807731. The reversal of 3807720 is 277083.

3807720 is digitally balanced in base 2, 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 (3807709) and next prime (3807731).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3807720 is an apocalyptic number.

3807720 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 3807720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

3807720 is an abundant number, since it is smaller than the sum of its proper divisors (10344600).

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

3807720 is a wasteful number, since it uses less digits than its factorization.

3807720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3807720 is about 1951.3380024998. The cubic root of 3807720 is about 156.1546789274.

It can be divided in two parts, 380 and 7720, that added together give a square (8100 = 90²).

The spelling of 3807720 in words is "three million, eight hundred seven thousand, seven hundred twenty".