3744346800 has 120 divisors (see below), whose sum is σ = 12086458560. Its totient is φ = 990828800.

The previous prime is 3744346741. The next prime is 3744346807. The reversal of 3744346800 is 86434473.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3744346807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145291 + ... + 169109.

It is an arithmetic number, because the mean of its divisors is an integer number (100720488).

Almost surely, 2^3744346800 is an apocalyptic number.

3744346800 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 3744346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043229280).

3744346800 is an abundant number, since it is smaller than the sum of its proper divisors (8342111760).

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

3744346800 is a wasteful number, since it uses less digits than its factorization.

3744346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23971 (or 23960 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3744346800 is about 61191.0679756449. The cubic root of 3744346800 is about 1552.8351578153.

The spelling of 3744346800 in words is "three billion, seven hundred forty-four million, three hundred forty-six thousand, eight hundred".