3784352 has 48 divisors (see below), whose sum is σ = 8763552. Its totient is φ = 1585920.

The previous prime is 3784343. The next prime is 3784357. The reversal of 3784352 is 2534873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3¹⁰ + 7⁵ + 8³ + 4⁷ + 3¹³ + 5³ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (3784357) 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, 4163 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (182574).

Almost surely, 2^3784352 is an apocalyptic number.

3784352 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 3784352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381776).

3784352 is an abundant number, since it is smaller than the sum of its proper divisors (4979200).

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

3784352 is a wasteful number, since it uses less digits than its factorization.

3784352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 3784352 is about 1945.3411011954. The cubic root of 3784352 is about 155.8345824932.

The spelling of 3784352 in words is "three million, seven hundred eighty-four thousand, three hundred fifty-two".