3872760 has 64 divisors (see below), whose sum is σ = 11836800. Its totient is φ = 1013376.

The previous prime is 3872731. The next prime is 3872761. The reversal of 3872760 is 672783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6807 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (184950).

Almost surely, 2^3872760 is an apocalyptic number.

3872760 is a gapful number since it is divisible by the number (30) 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 3872760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918400).

3872760 is an abundant number, since it is smaller than the sum of its proper divisors (7964040).

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

3872760 is a wasteful number, since it uses less digits than its factorization.

3872760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3872760 is about 1967.9329256862. The cubic root of 3872760 is about 157.0387614411.

The spelling of 3872760 in words is "three million, eight hundred seventy-two thousand, seven hundred sixty".