3689800 has 48 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 1396800.

The previous prime is 3689797. The next prime is 3689809. The reversal of 3689800 is 89863.

It is a super-2 number, since 2×3689800² = 27229248080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3689809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3315 + ... + 4285.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 2^3689800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3689800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800).

3689800 is an abundant number, since it is smaller than the sum of its proper divisors (5349800).

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

3689800 is a wasteful number, since it uses less digits than its factorization.

3689800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3689800 is about 1920.8852126038. The cubic root of 3689800 is about 154.5257791876.

It can be divided in two parts, 3689 and 800, that added together give a square (4489 = 67²).

The spelling of 3689800 in words is "three million, six hundred eighty-nine thousand, eight hundred".