3750400 has 60 divisors (see below), whose sum is σ = 9323622. Its totient is φ = 1495040.

The previous prime is 3750389. The next prime is 3750407. The reversal of 3750400 is 40573.

It can be written as a sum of positive squares in 3 ways, for example, as 3504384 + 246016 = 1872^2 + 496^2 .

It is not an unprimeable number, because it can be changed into a prime (3750407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12654 + ... + 12946.

Almost surely, 2^3750400 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 3750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661811).

3750400 is an abundant number, since it is smaller than the sum of its proper divisors (5573222).

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

3750400 is an equidigital number, since it uses as much as digits as its factorization.

3750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 3750400 is about 1936.5949499056. The cubic root of 3750400 is about 155.3671490702.

Adding to 3750400 its reverse (40573), we get a palindrome (3790973).

The spelling of 3750400 in words is "three million, seven hundred fifty thousand, four hundred".