3763936 has 72 divisors (see below), whose sum is σ = 8819496. Its totient is φ = 1566720.

The previous prime is 3763933. The next prime is 3763937. The reversal of 3763936 is 6393673.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 3763895 and 3763904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763931) 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, 101710 + ... + 101746.

It is an arithmetic number, because the mean of its divisors is an integer number (122493).

Almost surely, 2^3763936 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 3763936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409748).

3763936 is an abundant number, since it is smaller than the sum of its proper divisors (5055560).

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

3763936 is a wasteful number, since it uses less digits than its factorization.

3763936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its digits is 61236, while the sum is 37.

The square root of 3763936 is about 1940.0865960054. The cubic root of 3763936 is about 155.5538424603.

It can be divided in two parts, 37639 and 36, that added together give a triangular number (37675 = T₂₇₄).

The spelling of 3763936 in words is "three million, seven hundred sixty-three thousand, nine hundred thirty-six".