3738400 has 36 divisors (see below), whose sum is σ = 9128322. Its totient is φ = 1495040.

The previous prime is 3738391. The next prime is 3738401. The reversal of 3738400 is 48373.

It can be written as a sum of positive squares in 3 ways, for example, as 3519376 + 219024 = 1876^2 + 468^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3738401) 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, 1537 + ... + 3136.

Almost surely, 2^3738400 is an apocalyptic number.

It is an amenable number.

3738400 is an abundant number, since it is smaller than the sum of its proper divisors (5389922).

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

3738400 is a wasteful number, since it uses less digits than its factorization.

3738400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4693 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3738400 is about 1933.4942461771. The cubic root of 3738400 is about 155.2012647362.

The spelling of 3738400 in words is "three million, seven hundred thirty-eight thousand, four hundred".