3683620800 has 420 divisors, whose sum is σ = 13875909256. Its totient is φ = 958003200.

The previous prime is 3683620799. The next prime is 3683620823. The reversal of 3683620800 is 80263863.

It is a super-3 number, since 3×3683620800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5572470 + ... + 5573130.

Almost surely, 2^3683620800 is an apocalyptic number.

3683620800 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 3683620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937954628).

3683620800 is an abundant number, since it is smaller than the sum of its proper divisors (10192288456).

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

3683620800 is a wasteful number, since it uses less digits than its factorization.

3683620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3683620800 is about 60692.8397753804. The cubic root of 3683620800 is about 1544.3947105808.

The spelling of 3683620800 in words is "three billion, six hundred eighty-three million, six hundred twenty thousand, eight hundred".