3786400 has 36 divisors (see below), whose sum is σ = 9245502. Its totient is φ = 1514240.

The previous prime is 3786397. The next prime is 3786401. The reversal of 3786400 is 46873.

It can be written as a sum of positive squares in 3 ways, for example, as 2178576 + 1607824 = 1476^2 + 1268^2 .

It is not an unprimeable number, because it can be changed into a prime (3786401) 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, 1567 + ... + 3166.

Almost surely, 2^3786400 is an apocalyptic number.

It is an amenable number.

3786400 is an abundant number, since it is smaller than the sum of its proper divisors (5459102).

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

3786400 is a wasteful number, since it uses less digits than its factorization.

3786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3786400 is about 1945.8674158328. The cubic root of 3786400 is about 155.8626887291.

It can be divided in two parts, 3786 and 400, that added together give a triangular number (4186 = T₉₁).

The spelling of 3786400 in words is "three million, seven hundred eighty-six thousand, four hundred".