3748320 has 144 divisors (see below), whose sum is σ = 13562640. Its totient is φ = 940032.

The previous prime is 3748309. The next prime is 3748351. The reversal of 3748320 is 238473.

It is a tau number, because it is divible by the number of its divisors (144).

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, 27292 + ... + 27428.

It is an arithmetic number, because the mean of its divisors is an integer number (94185).

Almost surely, 2^3748320 is an apocalyptic number.

3748320 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 3748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781320).

3748320 is an abundant number, since it is smaller than the sum of its proper divisors (9814320).

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

3748320 is a wasteful number, since it uses less digits than its factorization.

3748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3748320 is about 1936.0578503753. The cubic root of 3748320 is about 155.3384211628.

The spelling of 3748320 in words is "three million, seven hundred forty-eight thousand, three hundred twenty".