3744334320 has 80 divisors (see below), whose sum is σ = 12290240160. Its totient is φ = 939753472.

The previous prime is 3744334309. The next prime is 3744334327. The reversal of 3744334320 is 234334473.

3744334320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744334327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454785 + ... + 462944.

It is an arithmetic number, because the mean of its divisors is an integer number (153628002).

Almost surely, 2^3744334320 is an apocalyptic number.

3744334320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3744334320 is an abundant number, since it is smaller than the sum of its proper divisors (8545905840).

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

3744334320 is a wasteful number, since it uses less digits than its factorization.

3744334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917762 (or 917756 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 33.

The square root of 3744334320 is about 61190.9659998925. The cubic root of 3744334320 is about 1552.8334326007.

Adding to 3744334320 its reverse (234334473), we get a palindrome (3978668793).

The spelling of 3744334320 in words is "three billion, seven hundred forty-four million, three hundred thirty-four thousand, three hundred twenty".