3894400 has 48 divisors (see below), whose sum is σ = 9628290. Its totient is φ = 1556480.

The previous prime is 3894391. The next prime is 3894409. The reversal of 3894400 is 44983.

3894400 = T₃₀ + T₃₁ + ... + T₂₈₅.

It is an interprime number because it is at equal distance from previous prime (3894391) and next prime (3894409).

It can be written as a sum of positive squares in 3 ways, for example, as 2585664 + 1308736 = 1608^2 + 1144^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3894409) 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, 2592 + ... + 3808.

Almost surely, 2^3894400 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 3894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814145).

3894400 is an abundant number, since it is smaller than the sum of its proper divisors (5733890).

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

3894400 is a wasteful number, since it uses less digits than its factorization.

3894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3894400 is about 1973.4234213670. The cubic root of 3894400 is about 157.3307159065.

The spelling of 3894400 in words is "three million, eight hundred ninety-four thousand, four hundred".