3736728 has 24 divisors (see below), whose sum is σ = 10120500. Its totient is φ = 1245552.

The previous prime is 3736723. The next prime is 3736739. The reversal of 3736728 is 8276373.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3736728² = 27926272291968, which contains 22 as substring.

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 = 3736692 and 3736701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25878 + ... + 26021.

Almost surely, 2^3736728 is an apocalyptic number.

It is an amenable number.

3736728 is an abundant number, since it is smaller than the sum of its proper divisors (6383772).

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

3736728 is a wasteful number, since it uses less digits than its factorization.

3736728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51911 (or 51904 counting only the distinct ones).

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

The square root of 3736728 is about 1933.0618200151. The cubic root of 3736728 is about 155.1781233557.

It can be divided in two parts, 373672 and 8, that added together give a triangular number (373680 = T₈₆₄).

The spelling of 3736728 in words is "three million, seven hundred thirty-six thousand, seven hundred twenty-eight".