3748000 has 48 divisors (see below), whose sum is σ = 9218664. Its totient is φ = 1497600.

The previous prime is 3747979. The next prime is 3748021. The reversal of 3748000 is 8473.

It is an interprime number because it is at equal distance from previous prime (3747979) and next prime (3748021).

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 3429904 = 564^2 + 1852^2 .

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, 3532 + ... + 4468.

Almost surely, 2^3748000 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 3748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609332).

3748000 is an abundant number, since it is smaller than the sum of its proper divisors (5470664).

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

3748000 is an equidigital number, since it uses as much as digits as its factorization.

3748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3748000 is about 1935.9752064528. The cubic root of 3748000 is about 155.3340005415.

The spelling of 3748000 in words is "three million, seven hundred forty-eight thousand".