3673944000 has 448 divisors, whose sum is σ = 13722583680. Its totient is φ = 962150400.

The previous prime is 3673943993. The next prime is 3673944151. The reversal of 3673944000 is 4493763.

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 63 ways as a sum of consecutive naturals, for example, 15767884 + ... + 15768116.

Almost surely, 2^3673944000 is an apocalyptic number.

3673944000 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 3673944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861291840).

3673944000 is an abundant number, since it is smaller than the sum of its proper divisors (10048639680).

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

3673944000 is a wasteful number, since it uses less digits than its factorization.

3673944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3673944000 is about 60613.0678979377. The cubic root of 3673944000 is about 1543.0411597093.

The spelling of 3673944000 in words is "three billion, six hundred seventy-three million, nine hundred forty-four thousand".