3681300 has 72 divisors (see below), whose sum is σ = 12179776. Its totient is φ = 840960.

The previous prime is 3681287. The next prime is 3681319. The reversal of 3681300 is 31863.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

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, 1224 + ... + 2976.

Almost surely, 2^3681300 is an apocalyptic number.

3681300 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 3681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089888).

3681300 is an abundant number, since it is smaller than the sum of its proper divisors (8498476).

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

3681300 is a wasteful number, since it uses less digits than its factorization.

3681300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3681300 is about 1918.6714153288. The cubic root of 3681300 is about 154.4070302937.

The spelling of 3681300 in words is "three million, six hundred eighty-one thousand, three hundred".