3728993610528 has 384 divisors, whose sum is σ = 11168701770240. Its totient is φ = 1210100613120.

The previous prime is 3728993610521. The next prime is 3728993610541. The reversal of 3728993610528 is 8250163998273.

3728993610528 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 9 + 9 + 3 + 610 + 5 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3728993610521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2197402576 + ... + 2197404272.

It is an arithmetic number, because the mean of its divisors is an integer number (29085160860).

Almost surely, 2^{3728993610528} 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 3728993610528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584350885120).

3728993610528 is an abundant number, since it is smaller than the sum of its proper divisors (7439708159712).

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

3728993610528 is a wasteful number, since it uses less digits than its factorization.

3728993610528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3728993610528 in words is "three trillion, seven hundred twenty-eight billion, nine hundred ninety-three million, six hundred ten thousand, five hundred twenty-eight".