3797120 has 64 divisors (see below), whose sum is σ = 9639000. Its totient is φ = 1425408.

The previous prime is 3797117. The next prime is 3797141. The reversal of 3797120 is 217973.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3655744 + 141376 = 1912^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10706 + ... + 11054.

Almost surely, 2^3797120 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 3797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819500).

3797120 is an abundant number, since it is smaller than the sum of its proper divisors (5841880).

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

3797120 is a wasteful number, since it uses less digits than its factorization.

3797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 3797120 is about 1948.6200245302. The cubic root of 3797120 is about 156.0096421829.

The spelling of 3797120 in words is "three million, seven hundred ninety-seven thousand, one hundred twenty".