3783672000 has 280 divisors, whose sum is σ = 13999951680. Its totient is φ = 1008806400.

The previous prime is 3783671987. The next prime is 3783672037. The reversal of 3783672000 is 2763873.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 645081 + ... + 650919.

Almost surely, 2^3783672000 is an apocalyptic number.

3783672000 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 3783672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999975840).

3783672000 is an abundant number, since it is smaller than the sum of its proper divisors (10216279680).

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

3783672000 is an equidigital number, since it uses as much as digits as its factorization.

3783672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3783672000 is about 61511.5598891786. The cubic root of 3783672000 is about 1558.2524810222.

The spelling of 3783672000 in words is "three billion, seven hundred eighty-three million, six hundred seventy-two thousand".