3673800000 has 504 divisors, whose sum is σ = 14264758872. Its totient is φ = 898560000.

The previous prime is 3673799999. The next prime is 3673800001. The reversal of 3673800000 is 83763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3673799999) and next prime (3673800001).

It can be written as a sum of positive squares in 12 ways, for example, as 3423654144 + 250145856 = 58512^2 + 15816^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23399922 + ... + 23400078.

It is an arithmetic number, because the mean of its divisors is an integer number (28303093).

Almost surely, 2^3673800000 is an apocalyptic number.

3673800000 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 3673800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132379436).

3673800000 is an abundant number, since it is smaller than the sum of its proper divisors (10590958872).

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

3673800000 is a wasteful number, since it uses less digits than its factorization.

3673800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3673800000 is about 60611.8800236389. The cubic root of 3673800000 is about 1543.0209996460.

Adding to 3673800000 its reverse (83763), we get a palindrome (3673883763).

The spelling of 3673800000 in words is "three billion, six hundred seventy-three million, eight hundred thousand".