3738080 has 48 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1466880.

The previous prime is 3738047. The next prime is 3738101. The reversal of 3738080 is 808373.

It is a congruent number.

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, 9569 + ... + 9951.

It is an arithmetic number, because the mean of its divisors is an integer number (187488).

Almost surely, 2^3738080 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 3738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3738080 is an abundant number, since it is smaller than the sum of its proper divisors (5261344).

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

3738080 is a wasteful number, since it uses less digits than its factorization.

3738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3738080 is about 1933.4114926730. The cubic root of 3738080 is about 155.1968362979.

The spelling of 3738080 in words is "three million, seven hundred thirty-eight thousand, eighty".