3783936 has 72 divisors (see below), whose sum is σ = 10874080. Its totient is φ = 1161216.

The previous prime is 3783929. The next prime is 3783943. The reversal of 3783936 is 6393873.

It is an interprime number because it is at equal distance from previous prime (3783929) and next prime (3783943).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 3783894 and 3783903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9795 + ... + 10173.

Almost surely, 2^3783936 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 3783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437040).

3783936 is an abundant number, since it is smaller than the sum of its proper divisors (7090144).

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

3783936 is a wasteful number, since it uses less digits than its factorization.

3783936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3783936 is about 1945.2341761341. The cubic root of 3783936 is about 155.8288721751.

The spelling of 3783936 in words is "three million, seven hundred eighty-three thousand, nine hundred thirty-six".