3780512 has 48 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 1762560.

The previous prime is 3780509. The next prime is 3780521. The reversal of 3780512 is 2150873.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36653 + ... + 36755.

It is an arithmetic number, because the mean of its divisors is an integer number (165984).

Almost surely, 2^3780512 is an apocalyptic number.

3780512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616).

3780512 is an abundant number, since it is smaller than the sum of its proper divisors (4186720).

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

3780512 is a wasteful number, since it uses less digits than its factorization.

3780512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 3780512 is about 1944.3538772559. The cubic root of 3780512 is about 155.7818559575.

The spelling of 3780512 in words is "three million, seven hundred eighty thousand, five hundred twelve".