3791488 has 32 divisors (see below), whose sum is σ = 7956000. Its totient is φ = 1794816.

The previous prime is 3791483. The next prime is 3791497. The reversal of 3791488 is 8841973.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3791488.

It is not an unprimeable number, because it can be changed into a prime (3791483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1653 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (248625).

Almost surely, 2^3791488 is an apocalyptic number.

3791488 is a gapful number since it is divisible by the number (38) 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 3791488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978000).

3791488 is an abundant number, since it is smaller than the sum of its proper divisors (4164512).

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

3791488 is a wasteful number, since it uses less digits than its factorization.

3791488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1580 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 3791488 is about 1947.1743630194. The cubic root of 3791488 is about 155.9324713205.

The spelling of 3791488 in words is "three million, seven hundred ninety-one thousand, four hundred eighty-eight".