3728942784 has 448 divisors, whose sum is σ = 13136148480. Its totient is φ = 1015234560.

The previous prime is 3728942759. The next prime is 3728942813. The reversal of 3728942784 is 4872498273.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3728942784.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36203277 + ... + 36203379.

It is an arithmetic number, because the mean of its divisors is an integer number (29321760).

Almost surely, 2^3728942784 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 3728942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568074240).

3728942784 is an abundant number, since it is smaller than the sum of its proper divisors (9407205696).

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

3728942784 is a wasteful number, since it uses less digits than its factorization.

3728942784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 3728942784 is about 61065.0700810210. The cubic root of 3728942784 is about 1550.7028077472.

The spelling of 3728942784 in words is "three billion, seven hundred twenty-eight million, nine hundred forty-two thousand, seven hundred eighty-four".