3754400 has 108 divisors (see below), whose sum is σ = 10417302. Its totient is φ = 1313280.

The previous prime is 3754397. The next prime is 3754403. The reversal of 3754400 is 44573.

It is an interprime number because it is at equal distance from previous prime (3754397) and next prime (3754403).

It can be written as a sum of positive squares in 3 ways, for example, as 2085136 + 1669264 = 1444^2 + 1292^2 .

It is not an unprimeable number, because it can be changed into a prime (3754403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197591 + ... + 197609.

Almost surely, 2^3754400 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 3754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208651).

3754400 is an abundant number, since it is smaller than the sum of its proper divisors (6662902).

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

3754400 is a wasteful number, since it uses less digits than its factorization.

3754400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 3754400 is about 1937.6274151653. The cubic root of 3754400 is about 155.4223652057.

Adding to 3754400 its reverse (44573), we get a palindrome (3798973).

The spelling of 3754400 in words is "three million, seven hundred fifty-four thousand, four hundred".