3776832 has 84 divisors (see below), whose sum is σ = 11094720. Its totient is φ = 1228032.

The previous prime is 3776831. The next prime is 3776837. The reversal of 3776832 is 2386773.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3² + 7 + 7 + 6⁸ + 8⁷ + 3² + 2⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3776831) 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, 45463 + ... + 45545.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

Almost surely, 2^3776832 is an apocalyptic number.

3776832 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 3776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547360).

3776832 is an abundant number, since it is smaller than the sum of its proper divisors (7317888).

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

3776832 is a wasteful number, since it uses less digits than its factorization.

3776832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3776832 is about 1943.4073170594. The cubic root of 3776832 is about 155.7312928466.

The spelling of 3776832 in words is "three million, seven hundred seventy-six thousand, eight hundred thirty-two".