3744144000 has 512 divisors, whose sum is σ = 14091667200. Its totient is φ = 989107200.

The previous prime is 3744143993. The next prime is 3744144011. The reversal of 3744144000 is 4414473.

It is a super-2 number, since 2×3744144000² = 28037228585472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34991947 + ... + 34992053.

Almost surely, 2^3744144000 is an apocalyptic number.

3744144000 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 3744144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045833600).

3744144000 is an abundant number, since it is smaller than the sum of its proper divisors (10347523200).

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

3744144000 is an frugal number, since it uses more digits than its factorization.

3744144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 3744144000 is about 61189.4108486101. The cubic root of 3744144000 is about 1552.8071226044.

Adding to 3744144000 its reverse (4414473), we get a palindrome (3748558473).

The spelling of 3744144000 in words is "three billion, seven hundred forty-four million, one hundred forty-four thousand".