3611880 has 96 divisors (see below), whose sum is σ = 11980800. Its totient is φ = 943488.

The previous prime is 3611873. The next prime is 3611891. The reversal of 3611880 is 881163.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28377 + ... + 28503.

It is an arithmetic number, because the mean of its divisors is an integer number (124800).

Almost surely, 2^3611880 is an apocalyptic number.

3611880 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 3611880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5990400).

3611880 is an abundant number, since it is smaller than the sum of its proper divisors (8368920).

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

3611880 is a wasteful number, since it uses less digits than its factorization.

3611880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3611880 is about 1900.4946724472. The cubic root of 3611880 is about 153.4302894462.

The spelling of 3611880 in words is "three million, six hundred eleven thousand, eight hundred eighty".