3744355680 has 384 divisors, whose sum is σ = 14357831040. Its totient is φ = 905748480.

The previous prime is 3744355663. The next prime is 3744355687. The reversal of 3744355680 is 865534473.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3744355687) 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 63 ways as a sum of consecutive naturals, for example, 3425214 + ... + 3426306.

It is an arithmetic number, because the mean of its divisors is an integer number (37390185).

Almost surely, 2^3744355680 is an apocalyptic number.

3744355680 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 3744355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7178915520).

3744355680 is an abundant number, since it is smaller than the sum of its proper divisors (10613475360).

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

3744355680 is a wasteful number, since it uses less digits than its factorization.

3744355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3744355680 is about 61191.1405352115. The cubic root of 3744355680 is about 1552.8363853694.

The spelling of 3744355680 in words is "three billion, seven hundred forty-four million, three hundred fifty-five thousand, six hundred eighty".