3682800000 has 768 divisors, whose sum is σ = 15299020800. Its totient is φ = 864000000.

The previous prime is 3682799993. The next prime is 3682800019. The reversal of 3682800000 is 82863.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118799985 + ... + 118800015.

It is an arithmetic number, because the mean of its divisors is an integer number (19920600).

Almost surely, 2^3682800000 is an apocalyptic number.

3682800000 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 3682800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7649510400).

3682800000 is an abundant number, since it is smaller than the sum of its proper divisors (11616220800).

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

3682800000 is an equidigital number, since it uses as much as digits as its factorization.

3682800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3682800000 is about 60686.0774807534. The cubic root of 3682800000 is about 1544.2799925346.

Adding to 3682800000 its reverse (82863), we get a palindrome (3682882863).

The spelling of 3682800000 in words is "three billion, six hundred eighty-two million, eight hundred thousand".