3744156416 has 288 divisors, whose sum is σ = 10576473600. Its totient is φ = 1274019840.

The previous prime is 3744156401. The next prime is 3744156419. The reversal of 3744156416 is 6146514473.

It is not an unprimeable number, because it can be changed into a prime (3744156419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4868480 + ... + 4869248.

Almost surely, 2^3744156416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288236800).

3744156416 is an abundant number, since it is smaller than the sum of its proper divisors (6832317184).

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

3744156416 is a wasteful number, since it uses less digits than its factorization.

3744156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 821 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 3744156416 is about 61189.5123039888. The cubic root of 3744156416 is about 1552.8088390299.

The spelling of 3744156416 in words is "three billion, seven hundred forty-four million, one hundred fifty-six thousand, four hundred sixteen".