3872880 has 160 divisors (see below), whose sum is σ = 14641920. Its totient is φ = 933120.

The previous prime is 3872873. The next prime is 3872887. The reversal of 3872880 is 882783.

It is an interprime number because it is at equal distance from previous prime (3872873) and next prime (3872887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23679 + ... + 23841.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

Almost surely, 2^3872880 is an apocalyptic number.

3872880 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 3872880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320960).

3872880 is an abundant number, since it is smaller than the sum of its proper divisors (10769040).

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

3872880 is a wasteful number, since it uses less digits than its factorization.

3872880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3872880 is about 1967.9634142941. The cubic root of 3872880 is about 157.0403834073.

The spelling of 3872880 in words is "three million, eight hundred seventy-two thousand, eight hundred eighty".