3763728 has 60 divisors (see below), whose sum is σ = 10735920. Its totient is φ = 1230528.

The previous prime is 3763717. The next prime is 3763733. The reversal of 3763728 is 8273673.

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

It is a junction number, because it is equal to n+sod(n) for n = 3763692 and 3763701.

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, 8275 + ... + 8717.

It is an arithmetic number, because the mean of its divisors is an integer number (178932).

Almost surely, 2^3763728 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 3763728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367960).

3763728 is an abundant number, since it is smaller than the sum of its proper divisors (6972192).

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

3763728 is a wasteful number, since it uses less digits than its factorization.

3763728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 507 counting only the distinct ones).

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

The square root of 3763728 is about 1940.0329894102. The cubic root of 3763728 is about 155.5509770383.

The spelling of 3763728 in words is "three million, seven hundred sixty-three thousand, seven hundred twenty-eight".