3661800 has 96 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 916480.

The previous prime is 3661781. The next prime is 3661831. The reversal of 3661800 is 81663.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10021 + ... + 10379.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

Almost surely, 2^3661800 is an apocalyptic number.

3661800 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 3661800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026400).

3661800 is an abundant number, since it is smaller than the sum of its proper divisors (8391000).

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

3661800 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 3661800 = (6801036)₉.

3661800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3661800 is about 1913.5830266806. The cubic root of 3661800 is about 154.1339139902.

The spelling of 3661800 in words is "three million, six hundred sixty-one thousand, eight hundred".