3662880 has 96 divisors (see below), whose sum is σ = 12446784. Its totient is φ = 900096.

The previous prime is 3662861. The next prime is 3662881. The reversal of 3662880 is 882663.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3662881) 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, 5947 + ... + 6533.

It is an arithmetic number, because the mean of its divisors is an integer number (129654).

Almost surely, 2^3662880 is an apocalyptic number.

3662880 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 3662880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223392).

3662880 is an abundant number, since it is smaller than the sum of its proper divisors (8783904).

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

3662880 is a wasteful number, since it uses less digits than its factorization.

3662880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3662880 is about 1913.8651990148. The cubic root of 3662880 is about 154.1490657611.

The spelling of 3662880 in words is "three million, six hundred sixty-two thousand, eight hundred eighty".