3744034327200 has 144 divisors (see below), whose sum is σ = 12199627048896. Its totient is φ = 997360896000.

The previous prime is 3744034327199. The next prime is 3744034327289. The reversal of 3744034327200 is 27234304473.

3744034327200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1468725 + ... + 3105675.

It is an arithmetic number, because the mean of its divisors is an integer number (84719632284).

Almost surely, 2^{3744034327200} is an apocalyptic number.

3744034327200 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 3744034327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099813524448).

3744034327200 is an abundant number, since it is smaller than the sum of its proper divisors (8455592721696).

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

3744034327200 is a wasteful number, since it uses less digits than its factorization.

3744034327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637927 (or 1637914 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 39.

The spelling of 3744034327200 in words is "three trillion, seven hundred forty-four billion, thirty-four million, three hundred twenty-seven thousand, two hundred".