3782736 has 60 divisors (see below), whose sum is σ = 10727860. Its totient is φ = 1244160.

The previous prime is 3782699. The next prime is 3782773. The reversal of 3782736 is 6372873.

It is an interprime number because it is at equal distance from previous prime (3782699) and next prime (3782773).

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 1040400 = 1656^2 + 1020^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3782736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15576 + ... + 15816.

Almost surely, 2^3782736 is an apocalyptic number.

3782736 is a gapful number since it is divisible by the number (36) 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 3782736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363930).

3782736 is an abundant number, since it is smaller than the sum of its proper divisors (6945124).

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

3782736 is a wasteful number, since it uses less digits than its factorization.

3782736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

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

The square root of 3782736 is about 1944.9257055219. The cubic root of 3782736 is about 155.8123977582.

The spelling of 3782736 in words is "three million, seven hundred eighty-two thousand, seven hundred thirty-six".