3720960 has 216 divisors, whose sum is σ = 14348880. Its totient is φ = 884736.

The previous prime is 3720947. The next prime is 3720989. The reversal of 3720960 is 690273.

3720960 = 149² + 150² + ... + 243².

It is a zygodrome in base 2.

It is a congruent number.

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, 195831 + ... + 195849.

It is an arithmetic number, because the mean of its divisors is an integer number (66430).

Almost surely, 2^3720960 is an apocalyptic number.

3720960 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 3720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7174440).

3720960 is an abundant number, since it is smaller than the sum of its proper divisors (10627920).

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

3720960 is a wasteful number, since it uses less digits than its factorization.

3720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3720960 is about 1928.9790045514. The cubic root of 3720960 is about 154.9595454604.

The spelling of 3720960 in words is "three million, seven hundred twenty thousand, nine hundred sixty".