3872736 has 144 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 1032192.

The previous prime is 3872731. The next prime is 3872761. The reversal of 3872736 is 6372783.

3872736 is a `hidden beast` number, since 387 + 273 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3872736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34216 + ... + 34328.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

Almost surely, 2^3872736 is an apocalyptic number.

3872736 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 3872736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

3872736 is an abundant number, since it is smaller than the sum of its proper divisors (9571968).

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

3872736 is a wasteful number, since it uses less digits than its factorization.

3872736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

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

The square root of 3872736 is about 1967.9268279080. The cubic root of 3872736 is about 157.0384370439.

The spelling of 3872736 in words is "three million, eight hundred seventy-two thousand, seven hundred thirty-six".