3742477728 has 288 divisors, whose sum is σ = 11754731520. Its totient is φ = 1037836800.

The previous prime is 3742477691. The next prime is 3742477741. The reversal of 3742477728 is 8277742473.

3742477728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3742477728² = 28012279089152083968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6841551 + ... + 6842097.

It is an arithmetic number, because the mean of its divisors is an integer number (40815040).

Almost surely, 2^3742477728 is an apocalyptic number.

3742477728 is a gapful number since it is divisible by the number (38) 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 3742477728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877365760).

3742477728 is an abundant number, since it is smaller than the sum of its proper divisors (8012253792).

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

3742477728 is a wasteful number, since it uses less digits than its factorization.

3742477728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 613 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 51.

The square root of 3742477728 is about 61175.7936442185. The cubic root of 3742477728 is about 1552.5767376841.

The spelling of 3742477728 in words is "three billion, seven hundred forty-two million, four hundred seventy-seven thousand, seven hundred twenty-eight".