3724344000 has 672 divisors, whose sum is σ = 15057753984. Its totient is φ = 871833600.

The previous prime is 3724343981. The next prime is 3724344011. The reversal of 3724344000 is 4434273.

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, 21527914 + ... + 21528086.

It is an arithmetic number, because the mean of its divisors is an integer number (22407372).

Almost surely, 2^3724344000 is an apocalyptic number.

3724344000 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 3724344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528876992).

3724344000 is an abundant number, since it is smaller than the sum of its proper divisors (11333409984).

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

3724344000 is a wasteful number, since it uses less digits than its factorization.

3724344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 3724344000 is about 61027.4036806417. The cubic root of 3724344000 is about 1550.0650683749.

Adding to 3724344000 its reverse (4434273), we get a palindrome (3728778273).

The spelling of 3724344000 in words is "three billion, seven hundred twenty-four million, three hundred forty-four thousand".