3722880 has 128 divisors (see below), whose sum is σ = 13610880. Its totient is φ = 847872.

The previous prime is 3722867. The next prime is 3722893. The reversal of 3722880 is 882273.

It is an interprime number because it is at equal distance from previous prime (3722867) and next prime (3722893).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13302 + ... + 13578.

It is an arithmetic number, because the mean of its divisors is an integer number (106335).

Almost surely, 2^3722880 is an apocalyptic number.

3722880 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 3722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805440).

3722880 is an abundant number, since it is smaller than the sum of its proper divisors (9888000).

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

3722880 is a wasteful number, since it uses less digits than its factorization.

3722880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3722880 is about 1929.4766129705. The cubic root of 3722880 is about 154.9861937061.

The spelling of 3722880 in words is "three million, seven hundred twenty-two thousand, eight hundred eighty".