3720080 has 120 divisors (see below), whose sum is σ = 10983672. Its totient is φ = 1161216.

The previous prime is 3720037. The next prime is 3720103. The reversal of 3720080 is 800273.

3720080 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 4 ways, for example, as 94864 + 3625216 = 308^2 + 1904^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50924 + ... + 50996.

Almost surely, 2^3720080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491836).

3720080 is an abundant number, since it is smaller than the sum of its proper divisors (7263592).

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

3720080 is a wasteful number, since it uses less digits than its factorization.

3720080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 3720080 is about 1928.7508911210. The cubic root of 3720080 is about 154.9473286175.

The spelling of 3720080 in words is "three million, seven hundred twenty thousand, eighty".