3780400 has 60 divisors (see below), whose sum is σ = 9794512. Its totient is φ = 1393920.

The previous prime is 3780397. The next prime is 3780407. The reversal of 3780400 is 40873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4837 + ... + 5563.

Almost surely, 2^3780400 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 3780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897256).

3780400 is an abundant number, since it is smaller than the sum of its proper divisors (6014112).

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

3780400 is a wasteful number, since it uses less digits than its factorization.

3780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 3780400 is about 1944.3250757011. The cubic root of 3780400 is about 155.7803175645.

The spelling of 3780400 in words is "three million, seven hundred eighty thousand, four hundred".