3763872 has 72 divisors (see below), whose sum is σ = 12239136. Its totient is φ = 1074816.

The previous prime is 3763871. The next prime is 3763873. The reversal of 3763872 is 2783673.

3763872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3763871) and next prime (3763873).

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (3763871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (169988).

Almost surely, 2^3763872 is an apocalyptic number.

3763872 is a gapful number since it is divisible by the number (32) 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 3763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119568).

3763872 is an abundant number, since it is smaller than the sum of its proper divisors (8475264).

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

3763872 is a wasteful number, since it uses less digits than its factorization.

3763872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1879 counting only the distinct ones).

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

The square root of 3763872 is about 1940.0701018262. The cubic root of 3763872 is about 155.5529608033.

The spelling of 3763872 in words is "three million, seven hundred sixty-three thousand, eight hundred seventy-two".