3748840 has 64 divisors (see below), whose sum is σ = 9234000. Its totient is φ = 1363968.

The previous prime is 3748831. The next prime is 3748841. The reversal of 3748840 is 488473.

It can be written as a sum of positive squares in 8 ways, for example, as 2196324 + 1552516 = 1482^2 + 1246^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3748796 and 3748805.

It is not an unprimeable number, because it can be changed into a prime (3748841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25086 + ... + 25234.

Almost surely, 2^3748840 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 3748840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617000).

3748840 is an abundant number, since it is smaller than the sum of its proper divisors (5485160).

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

3748840 is a wasteful number, since it uses less digits than its factorization.

3748840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 3748840 is about 1936.1921392259. The cubic root of 3748840 is about 155.3456041358.

The spelling of 3748840 in words is "three million, seven hundred forty-eight thousand, eight hundred forty".