3724944000 has 256 divisors, whose sum is σ = 12533564160. Its totient is φ = 978432000.

The previous prime is 3724943983. The next prime is 3724944011. The reversal of 3724944000 is 4494273.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3407454 + ... + 3408546.

It is an arithmetic number, because the mean of its divisors is an integer number (48959235).

Almost surely, 2^3724944000 is an apocalyptic number.

3724944000 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 3724944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266782080).

3724944000 is an abundant number, since it is smaller than the sum of its proper divisors (8808620160).

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

3724944000 is a wasteful number, since it uses less digits than its factorization.

3724944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3724944000 is about 61032.3193070688. The cubic root of 3724944000 is about 1550.1483035345.

The spelling of 3724944000 in words is "three billion, seven hundred twenty-four million, nine hundred forty-four thousand".