3728085637248 has 800 divisors, whose sum is σ = 13363356779520. Its totient is φ = 1030593715200.

The previous prime is 3728085637231. The next prime is 3728085637259. The reversal of 3728085637248 is 8427365808273.

3728085637248 is a `hidden beast` number, since 3 + 7 + 28 + 0 + 8 + 563 + 7 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 771698193 + ... + 771703023.

Almost surely, 2^{3728085637248} 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 3728085637248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681678389760).

3728085637248 is an abundant number, since it is smaller than the sum of its proper divisors (9635271142272).

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

3728085637248 is an frugal number, since it uses more digits than its factorization.

3728085637248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 3728085637248 in words is "three trillion, seven hundred twenty-eight billion, eighty-five million, six hundred thirty-seven thousand, two hundred forty-eight".