3780832 has 48 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 1640320.

The previous prime is 3780823. The next prime is 3780839. The reversal of 3780832 is 2380873.

It is a super-2 number, since 2×3780832² = 28589381224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3780794 and 3780803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7863 + ... + 8329.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 2^3780832 is an apocalyptic number.

3780832 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 3780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

3780832 is an abundant number, since it is smaller than the sum of its proper divisors (4710560).

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

3780832 is a wasteful number, since it uses less digits than its factorization.

3780832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 3780832 is about 1944.4361650617. The cubic root of 3780832 is about 155.7862511988.

The spelling of 3780832 in words is "three million, seven hundred eighty thousand, eight hundred thirty-two".