3780900 has 54 divisors (see below), whose sum is σ = 11853842. Its totient is φ = 1008000.

The previous prime is 3780893. The next prime is 3780929. The reversal of 3780900 is 90873.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 3779136 = 42^2 + 1944^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1201 + ... + 3000.

Almost surely, 2^3780900 is an apocalyptic number.

3780900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3780900 is an abundant number, since it is smaller than the sum of its proper divisors (8072942).

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

3780900 is a wasteful number, since it uses less digits than its factorization.

3780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3780900 is about 1944.4536507719. The cubic root of 3780900 is about 155.7871851557.

Subtracting from 3780900 its sum of digits (27), we obtain a palindrome (3780873).

The spelling of 3780900 in words is "three million, seven hundred eighty thousand, nine hundred".