3748500 has 216 divisors, whose sum is σ = 14565096. Its totient is φ = 806400.

The previous prime is 3748499. The next prime is 3748519. The reversal of 3748500 is 58473.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 3732624 = 126^2 + 1932^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220492 + ... + 220508.

It is an arithmetic number, because the mean of its divisors is an integer number (67431).

Almost surely, 2^3748500 is an apocalyptic number.

3748500 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 3748500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282548).

3748500 is an abundant number, since it is smaller than the sum of its proper divisors (10816596).

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

3748500 is a wasteful number, since it uses less digits than its factorization.

3748500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3748500 is about 1936.1043360315. The cubic root of 3748500 is about 155.3409076517.

Subtracting from 3748500 its sum of digits (27), we obtain a palindrome (3748473).

The spelling of 3748500 in words is "three million, seven hundred forty-eight thousand, five hundred".