3782064 has 160 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 967680.

The previous prime is 3782063. The next prime is 3782069. The reversal of 3782064 is 4602873.

3782064 = T₇₇ + T₇₈ + ... + T₂₈₄.

It is a d-powerful number, because it can be written as 3⁶ + 7³ + 8⁷ + 2⁷ + 0 + 6⁸ + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (3782063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130402 + ... + 130430.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^3782064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3782064 is an abundant number, since it is smaller than the sum of its proper divisors (8717136).

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

3782064 is a wasteful number, since it uses less digits than its factorization.

3782064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3782064 is about 1944.7529406071. The cubic root of 3782064 is about 155.8031705628.

It can be divided in two parts, 378 and 2064, that added together give a palindrome (2442).

The spelling of 3782064 in words is "three million, seven hundred eighty-two thousand, sixty-four".